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Finding the Third Proportional to 15,561 and 18,274.50

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Solution

The third proportional to 15,561 and 18,274.50 is: 21,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,561 : 18,274.50 = 18,274.50 : x
  2. Step 2: Convert to fraction form
    15,561/18,274.50 = 18,274.50/x
  3. Step 3: Cross multiply
    15,561x = 18,274.50 × 18,274.50
  4. Step 4: Simplify right side
    15,561x = 333,957,350.25
  5. Step 5: Solve for x
    x = 333,957,350.25/15,561
  6. Step 6: Final answer
    x = 21,461.18

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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.