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Finding the Third Proportional to 142,671.38 and 155,125.13

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Solution

The third proportional to 142,671.38 and 155,125.13 is: 168,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,671.38 : 155,125.13 = 155,125.13 : x
  2. Step 2: Convert to fraction form
    142,671.38/155,125.13 = 155,125.13/x
  3. Step 3: Cross multiply
    142,671.38x = 155,125.13 × 155,125.13
  4. Step 4: Simplify right side
    142,671.38x = 24,063,804,406.27
  5. Step 5: Solve for x
    x = 24,063,804,406.27/142,671.38
  6. Step 6: Final answer
    x = 168,665.96

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.