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Finding the Third Proportional to 313,432 and 679,352

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Solution

The third proportional to 313,432 and 679,352 is: 1,472,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,432 : 679,352 = 679,352 : x
  2. Step 2: Convert to fraction form
    313,432/679,352 = 679,352/x
  3. Step 3: Cross multiply
    313,432x = 679,352 × 679,352
  4. Step 4: Simplify right side
    313,432x = 461,519,139,904
  5. Step 5: Solve for x
    x = 461,519,139,904/313,432
  6. Step 6: Final answer
    x = 1,472,469.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.