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Finding the Third Proportional to 15,913.13 and 18,586.13

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Solution

The third proportional to 15,913.13 and 18,586.13 is: 21,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.13 : 18,586.13 = 18,586.13 : x
  2. Step 2: Convert to fraction form
    15,913.13/18,586.13 = 18,586.13/x
  3. Step 3: Cross multiply
    15,913.13x = 18,586.13 × 18,586.13
  4. Step 4: Simplify right side
    15,913.13x = 345,444,042.52
  5. Step 5: Solve for x
    x = 345,444,042.52/15,913.13
  6. Step 6: Final answer
    x = 21,708.12

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.