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Finding the Third Proportional to 124,654,818,278 and 252,778,302,482.50

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Solution

The third proportional to 124,654,818,278 and 252,778,302,482.50 is: 512,590,456,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,654,818,278 : 252,778,302,482.50 = 252,778,302,482.50 : x
  2. Step 2: Convert to fraction form
    124,654,818,278/252,778,302,482.50 = 252,778,302,482.50/x
  3. Step 3: Cross multiply
    124,654,818,278x = 252,778,302,482.50 × 252,778,302,482.50
  4. Step 4: Simplify right side
    124,654,818,278x = 63,896,870,205,934,262,026,240
  5. Step 5: Solve for x
    x = 63,896,870,205,934,262,026,240/124,654,818,278
  6. Step 6: Final answer
    x = 512,590,456,499.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.