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Finding the Third Proportional to 314,904,342 and 687,115,380

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Solution

The third proportional to 314,904,342 and 687,115,380 is: 1,499,272,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,904,342 : 687,115,380 = 687,115,380 : x
  2. Step 2: Convert to fraction form
    314,904,342/687,115,380 = 687,115,380/x
  3. Step 3: Cross multiply
    314,904,342x = 687,115,380 × 687,115,380
  4. Step 4: Simplify right side
    314,904,342x = 472,127,545,432,544,384
  5. Step 5: Solve for x
    x = 472,127,545,432,544,384/314,904,342
  6. Step 6: Final answer
    x = 1,499,272,898.03

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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.