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Finding the Third Proportional to 331,609 and 710,494

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Solution

The third proportional to 331,609 and 710,494 is: 1,522,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,609 : 710,494 = 710,494 : x
  2. Step 2: Convert to fraction form
    331,609/710,494 = 710,494/x
  3. Step 3: Cross multiply
    331,609x = 710,494 × 710,494
  4. Step 4: Simplify right side
    331,609x = 504,801,724,036
  5. Step 5: Solve for x
    x = 504,801,724,036/331,609
  6. Step 6: Final answer
    x = 1,522,279.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.