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Finding the Third Proportional to 457 and 527.50

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Solution

The third proportional to 457 and 527.50 is: 608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457 : 527.50 = 527.50 : x
  2. Step 2: Convert to fraction form
    457/527.50 = 527.50/x
  3. Step 3: Cross multiply
    457x = 527.50 × 527.50
  4. Step 4: Simplify right side
    457x = 278,256.25
  5. Step 5: Solve for x
    x = 278,256.25/457
  6. Step 6: Final answer
    x = 608.88

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.