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Finding the Third Proportional to 319,443,700 and 687,307,592

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Solution

The third proportional to 319,443,700 and 687,307,592 is: 1,478,794,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,443,700 : 687,307,592 = 687,307,592 : x
  2. Step 2: Convert to fraction form
    319,443,700/687,307,592 = 687,307,592/x
  3. Step 3: Cross multiply
    319,443,700x = 687,307,592 × 687,307,592
  4. Step 4: Simplify right side
    319,443,700x = 472,391,726,020,838,464
  5. Step 5: Solve for x
    x = 472,391,726,020,838,464/319,443,700
  6. Step 6: Final answer
    x = 1,478,794,936.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.