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Finding the Third Proportional to 313,902 and 679,957.88

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Solution

The third proportional to 313,902 and 679,957.88 is: 1,472,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,902 : 679,957.88 = 679,957.88 : x
  2. Step 2: Convert to fraction form
    313,902/679,957.88 = 679,957.88/x
  3. Step 3: Cross multiply
    313,902x = 679,957.88 × 679,957.88
  4. Step 4: Simplify right side
    313,902x = 462,342,711,774.52
  5. Step 5: Solve for x
    x = 462,342,711,774.52/313,902
  6. Step 6: Final answer
    x = 1,472,888.71

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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.