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Finding the Third Proportional to 4,387.61 and 9,402.96

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Solution

The third proportional to 4,387.61 and 9,402.96 is: 20,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.61 : 9,402.96 = 9,402.96 : x
  2. Step 2: Convert to fraction form
    4,387.61/9,402.96 = 9,402.96/x
  3. Step 3: Cross multiply
    4,387.61x = 9,402.96 × 9,402.96
  4. Step 4: Simplify right side
    4,387.61x = 88,415,674.39
  5. Step 5: Solve for x
    x = 88,415,674.39/4,387.61
  6. Step 6: Final answer
    x = 20,151.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.