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Finding the Third Proportional to 15,549 and 21,406.50

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Solution

The third proportional to 15,549 and 21,406.50 is: 29,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,549 : 21,406.50 = 21,406.50 : x
  2. Step 2: Convert to fraction form
    15,549/21,406.50 = 21,406.50/x
  3. Step 3: Cross multiply
    15,549x = 21,406.50 × 21,406.50
  4. Step 4: Simplify right side
    15,549x = 458,238,242.25
  5. Step 5: Solve for x
    x = 458,238,242.25/15,549
  6. Step 6: Final answer
    x = 29,470.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.