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Finding the Third Proportional to 7,477.31 and 9,711.56

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Solution

The third proportional to 7,477.31 and 9,711.56 is: 12,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.31 : 9,711.56 = 9,711.56 : x
  2. Step 2: Convert to fraction form
    7,477.31/9,711.56 = 9,711.56/x
  3. Step 3: Cross multiply
    7,477.31x = 9,711.56 × 9,711.56
  4. Step 4: Simplify right side
    7,477.31x = 94,314,446.19
  5. Step 5: Solve for x
    x = 94,314,446.19/7,477.31
  6. Step 6: Final answer
    x = 12,613.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.