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Finding the Third Proportional to 56,769 and 85,940

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Solution

The third proportional to 56,769 and 85,940 is: 130,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,769 : 85,940 = 85,940 : x
  2. Step 2: Convert to fraction form
    56,769/85,940 = 85,940/x
  3. Step 3: Cross multiply
    56,769x = 85,940 × 85,940
  4. Step 4: Simplify right side
    56,769x = 7,385,683,600
  5. Step 5: Solve for x
    x = 7,385,683,600/56,769
  6. Step 6: Final answer
    x = 130,100.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.