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Finding the Third Proportional to 9,750 and 13,437

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Solution

The third proportional to 9,750 and 13,437 is: 18,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750 : 13,437 = 13,437 : x
  2. Step 2: Convert to fraction form
    9,750/13,437 = 13,437/x
  3. Step 3: Cross multiply
    9,750x = 13,437 × 13,437
  4. Step 4: Simplify right side
    9,750x = 180,552,969
  5. Step 5: Solve for x
    x = 180,552,969/9,750
  6. Step 6: Final answer
    x = 18,518.25

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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.