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Finding the Third Proportional to 145,511,587 and 310,072,015

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Solution

The third proportional to 145,511,587 and 310,072,015 is: 660,735,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,511,587 : 310,072,015 = 310,072,015 : x
  2. Step 2: Convert to fraction form
    145,511,587/310,072,015 = 310,072,015/x
  3. Step 3: Cross multiply
    145,511,587x = 310,072,015 × 310,072,015
  4. Step 4: Simplify right side
    145,511,587x = 96,144,654,486,160,224
  5. Step 5: Solve for x
    x = 96,144,654,486,160,224/145,511,587
  6. Step 6: Final answer
    x = 660,735,385.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.