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Finding the Third Proportional to 57,639.41 and 123,890.13

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Solution

The third proportional to 57,639.41 and 123,890.13 is: 266,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,639.41 : 123,890.13 = 123,890.13 : x
  2. Step 2: Convert to fraction form
    57,639.41/123,890.13 = 123,890.13/x
  3. Step 3: Cross multiply
    57,639.41x = 123,890.13 × 123,890.13
  4. Step 4: Simplify right side
    57,639.41x = 15,348,765,008.30
  5. Step 5: Solve for x
    x = 15,348,765,008.30/57,639.41
  6. Step 6: Final answer
    x = 266,289.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.