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Finding the Third Proportional to 55,642 and 83,431

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Solution

The third proportional to 55,642 and 83,431 is: 125,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,642 : 83,431 = 83,431 : x
  2. Step 2: Convert to fraction form
    55,642/83,431 = 83,431/x
  3. Step 3: Cross multiply
    55,642x = 83,431 × 83,431
  4. Step 4: Simplify right side
    55,642x = 6,960,731,761
  5. Step 5: Solve for x
    x = 6,960,731,761/55,642
  6. Step 6: Final answer
    x = 125,098.52

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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.