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Finding the Third Proportional to 57,920 and 86,864

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Solution

The third proportional to 57,920 and 86,864 is: 130,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,920 : 86,864 = 86,864 : x
  2. Step 2: Convert to fraction form
    57,920/86,864 = 86,864/x
  3. Step 3: Cross multiply
    57,920x = 86,864 × 86,864
  4. Step 4: Simplify right side
    57,920x = 7,545,354,496
  5. Step 5: Solve for x
    x = 7,545,354,496/57,920
  6. Step 6: Final answer
    x = 130,272.00

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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.