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Finding the Third Proportional to 6,387.29 and 8,646.91

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Solution

The third proportional to 6,387.29 and 8,646.91 is: 11,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.29 : 8,646.91 = 8,646.91 : x
  2. Step 2: Convert to fraction form
    6,387.29/8,646.91 = 8,646.91/x
  3. Step 3: Cross multiply
    6,387.29x = 8,646.91 × 8,646.91
  4. Step 4: Simplify right side
    6,387.29x = 74,769,021.47
  5. Step 5: Solve for x
    x = 74,769,021.47/6,387.29
  6. Step 6: Final answer
    x = 11,705.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.