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Finding the Third Proportional to 334.78 and 710.16

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Solution

The third proportional to 334.78 and 710.16 is: 1,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.78 : 710.16 = 710.16 : x
  2. Step 2: Convert to fraction form
    334.78/710.16 = 710.16/x
  3. Step 3: Cross multiply
    334.78x = 710.16 × 710.16
  4. Step 4: Simplify right side
    334.78x = 504,321.90
  5. Step 5: Solve for x
    x = 504,321.90/334.78
  6. Step 6: Final answer
    x = 1,506.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.