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Finding the Third Proportional to 42,138.75 and 90,274.13

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Solution

The third proportional to 42,138.75 and 90,274.13 is: 193,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.75 : 90,274.13 = 90,274.13 : x
  2. Step 2: Convert to fraction form
    42,138.75/90,274.13 = 90,274.13/x
  3. Step 3: Cross multiply
    42,138.75x = 90,274.13 × 90,274.13
  4. Step 4: Simplify right side
    42,138.75x = 8,149,417,644.52
  5. Step 5: Solve for x
    x = 8,149,417,644.52/42,138.75
  6. Step 6: Final answer
    x = 193,394.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.