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Finding the Third Proportional to 9,042.13 and 19,587.81

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Solution

The third proportional to 9,042.13 and 19,587.81 is: 42,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.13 : 19,587.81 = 19,587.81 : x
  2. Step 2: Convert to fraction form
    9,042.13/19,587.81 = 19,587.81/x
  3. Step 3: Cross multiply
    9,042.13x = 19,587.81 × 19,587.81
  4. Step 4: Simplify right side
    9,042.13x = 383,682,398.54
  5. Step 5: Solve for x
    x = 383,682,398.54/9,042.13
  6. Step 6: Final answer
    x = 42,432.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.