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Finding the Third Proportional to 56,418 and 87,073

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Solution

The third proportional to 56,418 and 87,073 is: 134,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,418 : 87,073 = 87,073 : x
  2. Step 2: Convert to fraction form
    56,418/87,073 = 87,073/x
  3. Step 3: Cross multiply
    56,418x = 87,073 × 87,073
  4. Step 4: Simplify right side
    56,418x = 7,581,707,329
  5. Step 5: Solve for x
    x = 7,581,707,329/56,418
  6. Step 6: Final answer
    x = 134,384.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.