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Finding the Third Proportional to 528.28 and 1,177.88

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Solution

The third proportional to 528.28 and 1,177.88 is: 2,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.28 : 1,177.88 = 1,177.88 : x
  2. Step 2: Convert to fraction form
    528.28/1,177.88 = 1,177.88/x
  3. Step 3: Cross multiply
    528.28x = 1,177.88 × 1,177.88
  4. Step 4: Simplify right side
    528.28x = 1,387,389.52
  5. Step 5: Solve for x
    x = 1,387,389.52/528.28
  6. Step 6: Final answer
    x = 2,626.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.