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Finding the Third Proportional to 4,945.50 and 9,272.25

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Solution

The third proportional to 4,945.50 and 9,272.25 is: 17,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.50 : 9,272.25 = 9,272.25 : x
  2. Step 2: Convert to fraction form
    4,945.50/9,272.25 = 9,272.25/x
  3. Step 3: Cross multiply
    4,945.50x = 9,272.25 × 9,272.25
  4. Step 4: Simplify right side
    4,945.50x = 85,974,620.06
  5. Step 5: Solve for x
    x = 85,974,620.06/4,945.50
  6. Step 6: Final answer
    x = 17,384.41

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.