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Finding the Third Proportional to 7,658.30 and 11,561.48

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Solution

The third proportional to 7,658.30 and 11,561.48 is: 17,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.30 : 11,561.48 = 11,561.48 : x
  2. Step 2: Convert to fraction form
    7,658.30/11,561.48 = 11,561.48/x
  3. Step 3: Cross multiply
    7,658.30x = 11,561.48 × 11,561.48
  4. Step 4: Simplify right side
    7,658.30x = 133,667,920.95
  5. Step 5: Solve for x
    x = 133,667,920.95/7,658.30
  6. Step 6: Final answer
    x = 17,454.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.