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Finding the Third Proportional to 78,376,115 and 123,575,187

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Solution

The third proportional to 78,376,115 and 123,575,187 is: 194,840,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376,115 : 123,575,187 = 123,575,187 : x
  2. Step 2: Convert to fraction form
    78,376,115/123,575,187 = 123,575,187/x
  3. Step 3: Cross multiply
    78,376,115x = 123,575,187 × 123,575,187
  4. Step 4: Simplify right side
    78,376,115x = 15,270,826,842,084,968
  5. Step 5: Solve for x
    x = 15,270,826,842,084,968/78,376,115
  6. Step 6: Final answer
    x = 194,840,313.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.