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Finding the Third Proportional to 1,248.50 and 2,737

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Solution

The third proportional to 1,248.50 and 2,737 is: 6,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.50 : 2,737 = 2,737 : x
  2. Step 2: Convert to fraction form
    1,248.50/2,737 = 2,737/x
  3. Step 3: Cross multiply
    1,248.50x = 2,737 × 2,737
  4. Step 4: Simplify right side
    1,248.50x = 7,491,169
  5. Step 5: Solve for x
    x = 7,491,169/1,248.50
  6. Step 6: Final answer
    x = 6,000.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.