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Finding the Third Proportional to 342.98 and 710.02

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Solution

The third proportional to 342.98 and 710.02 is: 1,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 710.02 = 710.02 : x
  2. Step 2: Convert to fraction form
    342.98/710.02 = 710.02/x
  3. Step 3: Cross multiply
    342.98x = 710.02 × 710.02
  4. Step 4: Simplify right side
    342.98x = 504,122.19
  5. Step 5: Solve for x
    x = 504,122.19/342.98
  6. Step 6: Final answer
    x = 1,469.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.