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Finding the Third Proportional to 337.84 and 431.69

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Solution

The third proportional to 337.84 and 431.69 is: 551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.84 : 431.69 = 431.69 : x
  2. Step 2: Convert to fraction form
    337.84/431.69 = 431.69/x
  3. Step 3: Cross multiply
    337.84x = 431.69 × 431.69
  4. Step 4: Simplify right side
    337.84x = 186,354.10
  5. Step 5: Solve for x
    x = 186,354.10/337.84
  6. Step 6: Final answer
    x = 551.60

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.