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Finding the Third Proportional to 9,750 and 15,701.50

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Solution

The third proportional to 9,750 and 15,701.50 is: 25,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750 : 15,701.50 = 15,701.50 : x
  2. Step 2: Convert to fraction form
    9,750/15,701.50 = 15,701.50/x
  3. Step 3: Cross multiply
    9,750x = 15,701.50 × 15,701.50
  4. Step 4: Simplify right side
    9,750x = 246,537,102.25
  5. Step 5: Solve for x
    x = 246,537,102.25/9,750
  6. Step 6: Final answer
    x = 25,285.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.