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Finding the Third Proportional to 128,446 and 170,432

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Solution

The third proportional to 128,446 and 170,432 is: 226,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,446 : 170,432 = 170,432 : x
  2. Step 2: Convert to fraction form
    128,446/170,432 = 170,432/x
  3. Step 3: Cross multiply
    128,446x = 170,432 × 170,432
  4. Step 4: Simplify right side
    128,446x = 29,047,066,624
  5. Step 5: Solve for x
    x = 29,047,066,624/128,446
  6. Step 6: Final answer
    x = 226,142.24

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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.