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Finding the Third Proportional to 1,100.50 and 2,597

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Solution

The third proportional to 1,100.50 and 2,597 is: 6,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.50 : 2,597 = 2,597 : x
  2. Step 2: Convert to fraction form
    1,100.50/2,597 = 2,597/x
  3. Step 3: Cross multiply
    1,100.50x = 2,597 × 2,597
  4. Step 4: Simplify right side
    1,100.50x = 6,744,409
  5. Step 5: Solve for x
    x = 6,744,409/1,100.50
  6. Step 6: Final answer
    x = 6,128.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.