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Finding the Third Proportional to 7,312.88 and 11,776.69

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Solution

The third proportional to 7,312.88 and 11,776.69 is: 18,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.88 : 11,776.69 = 11,776.69 : x
  2. Step 2: Convert to fraction form
    7,312.88/11,776.69 = 11,776.69/x
  3. Step 3: Cross multiply
    7,312.88x = 11,776.69 × 11,776.69
  4. Step 4: Simplify right side
    7,312.88x = 138,690,368.47
  5. Step 5: Solve for x
    x = 138,690,368.47/7,312.88
  6. Step 6: Final answer
    x = 18,965.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.