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Finding the Third Proportional to 63,742 and 85,136

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Solution

The third proportional to 63,742 and 85,136 is: 113,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,742 : 85,136 = 85,136 : x
  2. Step 2: Convert to fraction form
    63,742/85,136 = 85,136/x
  3. Step 3: Cross multiply
    63,742x = 85,136 × 85,136
  4. Step 4: Simplify right side
    63,742x = 7,248,138,496
  5. Step 5: Solve for x
    x = 7,248,138,496/63,742
  6. Step 6: Final answer
    x = 113,710.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.