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Finding the Third Proportional to 42,147 and 90,487.13

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Solution

The third proportional to 42,147 and 90,487.13 is: 194,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,147 : 90,487.13 = 90,487.13 : x
  2. Step 2: Convert to fraction form
    42,147/90,487.13 = 90,487.13/x
  3. Step 3: Cross multiply
    42,147x = 90,487.13 × 90,487.13
  4. Step 4: Simplify right side
    42,147x = 8,187,919,790.77
  5. Step 5: Solve for x
    x = 8,187,919,790.77/42,147
  6. Step 6: Final answer
    x = 194,270.52

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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.