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Finding the Third Proportional to 128,008 and 169,863

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Solution

The third proportional to 128,008 and 169,863 is: 225,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,008 : 169,863 = 169,863 : x
  2. Step 2: Convert to fraction form
    128,008/169,863 = 169,863/x
  3. Step 3: Cross multiply
    128,008x = 169,863 × 169,863
  4. Step 4: Simplify right side
    128,008x = 28,853,438,769
  5. Step 5: Solve for x
    x = 28,853,438,769/128,008
  6. Step 6: Final answer
    x = 225,403.40

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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.