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Finding the Third Proportional to 57,854 and 87,509

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Solution

The third proportional to 57,854 and 87,509 is: 132,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,854 : 87,509 = 87,509 : x
  2. Step 2: Convert to fraction form
    57,854/87,509 = 87,509/x
  3. Step 3: Cross multiply
    57,854x = 87,509 × 87,509
  4. Step 4: Simplify right side
    57,854x = 7,657,825,081
  5. Step 5: Solve for x
    x = 7,657,825,081/57,854
  6. Step 6: Final answer
    x = 132,364.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.