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Finding the Third Proportional to 156,432 and 207,432

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Solution

The third proportional to 156,432 and 207,432 is: 275,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,432 : 207,432 = 207,432 : x
  2. Step 2: Convert to fraction form
    156,432/207,432 = 207,432/x
  3. Step 3: Cross multiply
    156,432x = 207,432 × 207,432
  4. Step 4: Simplify right side
    156,432x = 43,028,034,624
  5. Step 5: Solve for x
    x = 43,028,034,624/156,432
  6. Step 6: Final answer
    x = 275,059.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.