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Finding the Third Proportional to 11,565.75 and 12,780.75

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Solution

The third proportional to 11,565.75 and 12,780.75 is: 14,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.75 : 12,780.75 = 12,780.75 : x
  2. Step 2: Convert to fraction form
    11,565.75/12,780.75 = 12,780.75/x
  3. Step 3: Cross multiply
    11,565.75x = 12,780.75 × 12,780.75
  4. Step 4: Simplify right side
    11,565.75x = 163,347,570.56
  5. Step 5: Solve for x
    x = 163,347,570.56/11,565.75
  6. Step 6: Final answer
    x = 14,123.39

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.