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Finding the Third Proportional to 56,019 and 86,745

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Solution

The third proportional to 56,019 and 86,745 is: 134,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,019 : 86,745 = 86,745 : x
  2. Step 2: Convert to fraction form
    56,019/86,745 = 86,745/x
  3. Step 3: Cross multiply
    56,019x = 86,745 × 86,745
  4. Step 4: Simplify right side
    56,019x = 7,524,695,025
  5. Step 5: Solve for x
    x = 7,524,695,025/56,019
  6. Step 6: Final answer
    x = 134,323.98

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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.