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Finding the Third Proportional to 348.89 and 752.20

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Solution

The third proportional to 348.89 and 752.20 is: 1,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.89 : 752.20 = 752.20 : x
  2. Step 2: Convert to fraction form
    348.89/752.20 = 752.20/x
  3. Step 3: Cross multiply
    348.89x = 752.20 × 752.20
  4. Step 4: Simplify right side
    348.89x = 565,809.54
  5. Step 5: Solve for x
    x = 565,809.54/348.89
  6. Step 6: Final answer
    x = 1,621.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.