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Finding the Third Proportional to 405.88 and 527.75

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Solution

The third proportional to 405.88 and 527.75 is: 686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.88 : 527.75 = 527.75 : x
  2. Step 2: Convert to fraction form
    405.88/527.75 = 527.75/x
  3. Step 3: Cross multiply
    405.88x = 527.75 × 527.75
  4. Step 4: Simplify right side
    405.88x = 278,520.06
  5. Step 5: Solve for x
    x = 278,520.06/405.88
  6. Step 6: Final answer
    x = 686.22

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.