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Finding the Third Proportional to 56,000 and 86,718

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Solution

The third proportional to 56,000 and 86,718 is: 134,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,000 : 86,718 = 86,718 : x
  2. Step 2: Convert to fraction form
    56,000/86,718 = 86,718/x
  3. Step 3: Cross multiply
    56,000x = 86,718 × 86,718
  4. Step 4: Simplify right side
    56,000x = 7,520,011,524
  5. Step 5: Solve for x
    x = 7,520,011,524/56,000
  6. Step 6: Final answer
    x = 134,285.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.