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Finding the Third Proportional to 280 and 431.13

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Solution

The third proportional to 280 and 431.13 is: 663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280 : 431.13 = 431.13 : x
  2. Step 2: Convert to fraction form
    280/431.13 = 431.13/x
  3. Step 3: Cross multiply
    280x = 431.13 × 431.13
  4. Step 4: Simplify right side
    280x = 185,868.77
  5. Step 5: Solve for x
    x = 185,868.77/280
  6. Step 6: Final answer
    x = 663.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.