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Finding the Third Proportional to 322,000 and 707,432

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Solution

The third proportional to 322,000 and 707,432 is: 1,554,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,000 : 707,432 = 707,432 : x
  2. Step 2: Convert to fraction form
    322,000/707,432 = 707,432/x
  3. Step 3: Cross multiply
    322,000x = 707,432 × 707,432
  4. Step 4: Simplify right side
    322,000x = 500,460,034,624
  5. Step 5: Solve for x
    x = 500,460,034,624/322,000
  6. Step 6: Final answer
    x = 1,554,223.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.