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Finding the Third Proportional to 57,890 and 91,371

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Solution

The third proportional to 57,890 and 91,371 is: 144,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,890 : 91,371 = 91,371 : x
  2. Step 2: Convert to fraction form
    57,890/91,371 = 91,371/x
  3. Step 3: Cross multiply
    57,890x = 91,371 × 91,371
  4. Step 4: Simplify right side
    57,890x = 8,348,659,641
  5. Step 5: Solve for x
    x = 8,348,659,641/57,890
  6. Step 6: Final answer
    x = 144,215.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.