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Finding the Third Proportional to 284.55 and 432.74

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Solution

The third proportional to 284.55 and 432.74 is: 658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.55 : 432.74 = 432.74 : x
  2. Step 2: Convert to fraction form
    284.55/432.74 = 432.74/x
  3. Step 3: Cross multiply
    284.55x = 432.74 × 432.74
  4. Step 4: Simplify right side
    284.55x = 187,262.42
  5. Step 5: Solve for x
    x = 187,262.42/284.55
  6. Step 6: Final answer
    x = 658.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.