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Finding the Third Proportional to 355.50 and 527.91

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Solution

The third proportional to 355.50 and 527.91 is: 783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.50 : 527.91 = 527.91 : x
  2. Step 2: Convert to fraction form
    355.50/527.91 = 527.91/x
  3. Step 3: Cross multiply
    355.50x = 527.91 × 527.91
  4. Step 4: Simplify right side
    355.50x = 278,685.01
  5. Step 5: Solve for x
    x = 278,685.01/355.50
  6. Step 6: Final answer
    x = 783.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.