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Finding the Third Proportional to 11,080.50 and 15,780.38

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Solution

The third proportional to 11,080.50 and 15,780.38 is: 22,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,080.50 : 15,780.38 = 15,780.38 : x
  2. Step 2: Convert to fraction form
    11,080.50/15,780.38 = 15,780.38/x
  3. Step 3: Cross multiply
    11,080.50x = 15,780.38 × 15,780.38
  4. Step 4: Simplify right side
    11,080.50x = 249,020,235.14
  5. Step 5: Solve for x
    x = 249,020,235.14/11,080.50
  6. Step 6: Final answer
    x = 22,473.74

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.