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Finding the Third Proportional to 281.12 and 432.49

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Solution

The third proportional to 281.12 and 432.49 is: 665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.12 : 432.49 = 432.49 : x
  2. Step 2: Convert to fraction form
    281.12/432.49 = 432.49/x
  3. Step 3: Cross multiply
    281.12x = 432.49 × 432.49
  4. Step 4: Simplify right side
    281.12x = 187,045.69
  5. Step 5: Solve for x
    x = 187,045.69/281.12
  6. Step 6: Final answer
    x = 665.37

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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.