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Finding the Third Proportional to 347.63 and 747.56

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Solution

The third proportional to 347.63 and 747.56 is: 1,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.63 : 747.56 = 747.56 : x
  2. Step 2: Convert to fraction form
    347.63/747.56 = 747.56/x
  3. Step 3: Cross multiply
    347.63x = 747.56 × 747.56
  4. Step 4: Simplify right side
    347.63x = 558,849.69
  5. Step 5: Solve for x
    x = 558,849.69/347.63
  6. Step 6: Final answer
    x = 1,607.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.