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Finding the Third Proportional to 15,554.50 and 20,957

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Solution

The third proportional to 15,554.50 and 20,957 is: 28,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,554.50 : 20,957 = 20,957 : x
  2. Step 2: Convert to fraction form
    15,554.50/20,957 = 20,957/x
  3. Step 3: Cross multiply
    15,554.50x = 20,957 × 20,957
  4. Step 4: Simplify right side
    15,554.50x = 439,195,849
  5. Step 5: Solve for x
    x = 439,195,849/15,554.50
  6. Step 6: Final answer
    x = 28,235.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.