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Finding the Third Proportional to 9,903 and 15,328.50

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Solution

The third proportional to 9,903 and 15,328.50 is: 23,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903 : 15,328.50 = 15,328.50 : x
  2. Step 2: Convert to fraction form
    9,903/15,328.50 = 15,328.50/x
  3. Step 3: Cross multiply
    9,903x = 15,328.50 × 15,328.50
  4. Step 4: Simplify right side
    9,903x = 234,962,912.25
  5. Step 5: Solve for x
    x = 234,962,912.25/9,903
  6. Step 6: Final answer
    x = 23,726.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.