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Finding the Third Proportional to 85,331 and 128,001

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Solution

The third proportional to 85,331 and 128,001 is: 192,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,331 : 128,001 = 128,001 : x
  2. Step 2: Convert to fraction form
    85,331/128,001 = 128,001/x
  3. Step 3: Cross multiply
    85,331x = 128,001 × 128,001
  4. Step 4: Simplify right side
    85,331x = 16,384,256,001
  5. Step 5: Solve for x
    x = 16,384,256,001/85,331
  6. Step 6: Final answer
    x = 192,008.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.