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Finding the Third Proportional to 10,737 and 16,425.75

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Solution

The third proportional to 10,737 and 16,425.75 is: 25,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737 : 16,425.75 = 16,425.75 : x
  2. Step 2: Convert to fraction form
    10,737/16,425.75 = 16,425.75/x
  3. Step 3: Cross multiply
    10,737x = 16,425.75 × 16,425.75
  4. Step 4: Simplify right side
    10,737x = 269,805,263.06
  5. Step 5: Solve for x
    x = 269,805,263.06/10,737
  6. Step 6: Final answer
    x = 25,128.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.