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Finding the Third Proportional to 334.76 and 714.45

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Solution

The third proportional to 334.76 and 714.45 is: 1,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.76 : 714.45 = 714.45 : x
  2. Step 2: Convert to fraction form
    334.76/714.45 = 714.45/x
  3. Step 3: Cross multiply
    334.76x = 714.45 × 714.45
  4. Step 4: Simplify right side
    334.76x = 510,432.10
  5. Step 5: Solve for x
    x = 510,432.10/334.76
  6. Step 6: Final answer
    x = 1,524.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.