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Finding the Third Proportional to 344.53 and 740.53

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Solution

The third proportional to 344.53 and 740.53 is: 1,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.53 : 740.53 = 740.53 : x
  2. Step 2: Convert to fraction form
    344.53/740.53 = 740.53/x
  3. Step 3: Cross multiply
    344.53x = 740.53 × 740.53
  4. Step 4: Simplify right side
    344.53x = 548,386.53
  5. Step 5: Solve for x
    x = 548,386.53/344.53
  6. Step 6: Final answer
    x = 1,591.69

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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.