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Finding the Third Proportional to 347.25 and 686.63

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Solution

The third proportional to 347.25 and 686.63 is: 1,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.25 : 686.63 = 686.63 : x
  2. Step 2: Convert to fraction form
    347.25/686.63 = 686.63/x
  3. Step 3: Cross multiply
    347.25x = 686.63 × 686.63
  4. Step 4: Simplify right side
    347.25x = 471,453.89
  5. Step 5: Solve for x
    x = 471,453.89/347.25
  6. Step 6: Final answer
    x = 1,357.68

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.