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Finding the Third Proportional to 15,445.69 and 19,717.17

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Solution

The third proportional to 15,445.69 and 19,717.17 is: 25,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,445.69 : 19,717.17 = 19,717.17 : x
  2. Step 2: Convert to fraction form
    15,445.69/19,717.17 = 19,717.17/x
  3. Step 3: Cross multiply
    15,445.69x = 19,717.17 × 19,717.17
  4. Step 4: Simplify right side
    15,445.69x = 388,766,866.75
  5. Step 5: Solve for x
    x = 388,766,866.75/15,445.69
  6. Step 6: Final answer
    x = 25,169.93

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.