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Finding the Third Proportional to 9,750 and 21,038

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Solution

The third proportional to 9,750 and 21,038 is: 45,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750 : 21,038 = 21,038 : x
  2. Step 2: Convert to fraction form
    9,750/21,038 = 21,038/x
  3. Step 3: Cross multiply
    9,750x = 21,038 × 21,038
  4. Step 4: Simplify right side
    9,750x = 442,597,444
  5. Step 5: Solve for x
    x = 442,597,444/9,750
  6. Step 6: Final answer
    x = 45,394.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.