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Finding the Third Proportional to 7,861.31 and 10,681.97

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Solution

The third proportional to 7,861.31 and 10,681.97 is: 14,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.31 : 10,681.97 = 10,681.97 : x
  2. Step 2: Convert to fraction form
    7,861.31/10,681.97 = 10,681.97/x
  3. Step 3: Cross multiply
    7,861.31x = 10,681.97 × 10,681.97
  4. Step 4: Simplify right side
    7,861.31x = 114,104,456.38
  5. Step 5: Solve for x
    x = 114,104,456.38/7,861.31
  6. Step 6: Final answer
    x = 14,514.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.