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Finding the Third Proportional to 9,120 and 18,750

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Solution

The third proportional to 9,120 and 18,750 is: 38,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120 : 18,750 = 18,750 : x
  2. Step 2: Convert to fraction form
    9,120/18,750 = 18,750/x
  3. Step 3: Cross multiply
    9,120x = 18,750 × 18,750
  4. Step 4: Simplify right side
    9,120x = 351,562,500
  5. Step 5: Solve for x
    x = 351,562,500/9,120
  6. Step 6: Final answer
    x = 38,548.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.