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Finding the Third Proportional to 57,718 and 86,579

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Solution

The third proportional to 57,718 and 86,579 is: 129,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,718 : 86,579 = 86,579 : x
  2. Step 2: Convert to fraction form
    57,718/86,579 = 86,579/x
  3. Step 3: Cross multiply
    57,718x = 86,579 × 86,579
  4. Step 4: Simplify right side
    57,718x = 7,495,923,241
  5. Step 5: Solve for x
    x = 7,495,923,241/57,718
  6. Step 6: Final answer
    x = 129,871.50

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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.