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Finding the Third Proportional to 347.44 and 537.84

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Solution

The third proportional to 347.44 and 537.84 is: 832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.44 : 537.84 = 537.84 : x
  2. Step 2: Convert to fraction form
    347.44/537.84 = 537.84/x
  3. Step 3: Cross multiply
    347.44x = 537.84 × 537.84
  4. Step 4: Simplify right side
    347.44x = 289,275.90
  5. Step 5: Solve for x
    x = 289,275.90/347.44
  6. Step 6: Final answer
    x = 832.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.