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Finding the Third Proportional to 20,154.66 and 42,711.68

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Solution

The third proportional to 20,154.66 and 42,711.68 is: 90,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.66 : 42,711.68 = 42,711.68 : x
  2. Step 2: Convert to fraction form
    20,154.66/42,711.68 = 42,711.68/x
  3. Step 3: Cross multiply
    20,154.66x = 42,711.68 × 42,711.68
  4. Step 4: Simplify right side
    20,154.66x = 1,824,287,581.73
  5. Step 5: Solve for x
    x = 1,824,287,581.73/20,154.66
  6. Step 6: Final answer
    x = 90,514.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.