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Finding the Third Proportional to 345.97 and 514.03

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Solution

The third proportional to 345.97 and 514.03 is: 763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.97 : 514.03 = 514.03 : x
  2. Step 2: Convert to fraction form
    345.97/514.03 = 514.03/x
  3. Step 3: Cross multiply
    345.97x = 514.03 × 514.03
  4. Step 4: Simplify right side
    345.97x = 264,228.13
  5. Step 5: Solve for x
    x = 264,228.13/345.97
  6. Step 6: Final answer
    x = 763.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.