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Finding the Third Proportional to 20,151.28 and 42,703.14

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Solution

The third proportional to 20,151.28 and 42,703.14 is: 90,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.28 : 42,703.14 = 42,703.14 : x
  2. Step 2: Convert to fraction form
    20,151.28/42,703.14 = 42,703.14/x
  3. Step 3: Cross multiply
    20,151.28x = 42,703.14 × 42,703.14
  4. Step 4: Simplify right side
    20,151.28x = 1,823,557,885.62
  5. Step 5: Solve for x
    x = 1,823,557,885.62/20,151.28
  6. Step 6: Final answer
    x = 90,493.40

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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.