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Finding the Third Proportional to 7,116.19 and 9,288.42

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Solution

The third proportional to 7,116.19 and 9,288.42 is: 12,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.19 : 9,288.42 = 9,288.42 : x
  2. Step 2: Convert to fraction form
    7,116.19/9,288.42 = 9,288.42/x
  3. Step 3: Cross multiply
    7,116.19x = 9,288.42 × 9,288.42
  4. Step 4: Simplify right side
    7,116.19x = 86,274,780.93
  5. Step 5: Solve for x
    x = 86,274,780.93/7,116.19
  6. Step 6: Final answer
    x = 12,123.74

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.