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Finding the Third Proportional to 57,940 and 82,646

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Solution

The third proportional to 57,940 and 82,646 is: 117,886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,940 : 82,646 = 82,646 : x
  2. Step 2: Convert to fraction form
    57,940/82,646 = 82,646/x
  3. Step 3: Cross multiply
    57,940x = 82,646 × 82,646
  4. Step 4: Simplify right side
    57,940x = 6,830,361,316
  5. Step 5: Solve for x
    x = 6,830,361,316/57,940
  6. Step 6: Final answer
    x = 117,886.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.