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Finding the Third Proportional to 314,904,345 and 687,115,386

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Solution

The third proportional to 314,904,345 and 687,115,386 is: 1,499,272,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,904,345 : 687,115,386 = 687,115,386 : x
  2. Step 2: Convert to fraction form
    314,904,345/687,115,386 = 687,115,386/x
  3. Step 3: Cross multiply
    314,904,345x = 687,115,386 × 687,115,386
  4. Step 4: Simplify right side
    314,904,345x = 472,127,553,677,929,024
  5. Step 5: Solve for x
    x = 472,127,553,677,929,024/314,904,345
  6. Step 6: Final answer
    x = 1,499,272,909.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.