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Finding the Third Proportional to 515,627,110 and 817,816,605

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Solution

The third proportional to 515,627,110 and 817,816,605 is: 1,297,107,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,627,110 : 817,816,605 = 817,816,605 : x
  2. Step 2: Convert to fraction form
    515,627,110/817,816,605 = 817,816,605/x
  3. Step 3: Cross multiply
    515,627,110x = 817,816,605 × 817,816,605
  4. Step 4: Simplify right side
    515,627,110x = 668,823,999,413,726,080
  5. Step 5: Solve for x
    x = 668,823,999,413,726,080/515,627,110
  6. Step 6: Final answer
    x = 1,297,107,903.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.