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Finding the Third Proportional to 42,120 and 63,351

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Solution

The third proportional to 42,120 and 63,351 is: 95,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,120 : 63,351 = 63,351 : x
  2. Step 2: Convert to fraction form
    42,120/63,351 = 63,351/x
  3. Step 3: Cross multiply
    42,120x = 63,351 × 63,351
  4. Step 4: Simplify right side
    42,120x = 4,013,349,201
  5. Step 5: Solve for x
    x = 4,013,349,201/42,120
  6. Step 6: Final answer
    x = 95,283.69

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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.