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Finding the Third Proportional to 142,352 and 209,432

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Solution

The third proportional to 142,352 and 209,432 is: 308,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,352 : 209,432 = 209,432 : x
  2. Step 2: Convert to fraction form
    142,352/209,432 = 209,432/x
  3. Step 3: Cross multiply
    142,352x = 209,432 × 209,432
  4. Step 4: Simplify right side
    142,352x = 43,861,762,624
  5. Step 5: Solve for x
    x = 43,861,762,624/142,352
  6. Step 6: Final answer
    x = 308,121.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.