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Finding the Third Proportional to 56,342 and 78,775

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Solution

The third proportional to 56,342 and 78,775 is: 110,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,342 : 78,775 = 78,775 : x
  2. Step 2: Convert to fraction form
    56,342/78,775 = 78,775/x
  3. Step 3: Cross multiply
    56,342x = 78,775 × 78,775
  4. Step 4: Simplify right side
    56,342x = 6,205,500,625
  5. Step 5: Solve for x
    x = 6,205,500,625/56,342
  6. Step 6: Final answer
    x = 110,139.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.