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Finding the Third Proportional to 322,856 and 637,432

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Solution

The third proportional to 322,856 and 637,432 is: 1,258,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,856 : 637,432 = 637,432 : x
  2. Step 2: Convert to fraction form
    322,856/637,432 = 637,432/x
  3. Step 3: Cross multiply
    322,856x = 637,432 × 637,432
  4. Step 4: Simplify right side
    322,856x = 406,319,554,624
  5. Step 5: Solve for x
    x = 406,319,554,624/322,856
  6. Step 6: Final answer
    x = 1,258,516.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.