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Finding the Third Proportional to 7,412.34 and 11,543.77

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Solution

The third proportional to 7,412.34 and 11,543.77 is: 17,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.34 : 11,543.77 = 11,543.77 : x
  2. Step 2: Convert to fraction form
    7,412.34/11,543.77 = 11,543.77/x
  3. Step 3: Cross multiply
    7,412.34x = 11,543.77 × 11,543.77
  4. Step 4: Simplify right side
    7,412.34x = 133,258,524.80
  5. Step 5: Solve for x
    x = 133,258,524.80/7,412.34
  6. Step 6: Final answer
    x = 17,977.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.