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Finding the Third Proportional to 8,585.16 and 18,402.47

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Solution

The third proportional to 8,585.16 and 18,402.47 is: 39,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.16 : 18,402.47 = 18,402.47 : x
  2. Step 2: Convert to fraction form
    8,585.16/18,402.47 = 18,402.47/x
  3. Step 3: Cross multiply
    8,585.16x = 18,402.47 × 18,402.47
  4. Step 4: Simplify right side
    8,585.16x = 338,650,856.09
  5. Step 5: Solve for x
    x = 338,650,856.09/8,585.16
  6. Step 6: Final answer
    x = 39,446.09

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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.