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Finding the Third Proportional to 40,128 and 85,439

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Solution

The third proportional to 40,128 and 85,439 is: 181,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,128 : 85,439 = 85,439 : x
  2. Step 2: Convert to fraction form
    40,128/85,439 = 85,439/x
  3. Step 3: Cross multiply
    40,128x = 85,439 × 85,439
  4. Step 4: Simplify right side
    40,128x = 7,299,822,721
  5. Step 5: Solve for x
    x = 7,299,822,721/40,128
  6. Step 6: Final answer
    x = 181,913.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.