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Finding the Third Proportional to 347.80 and 541.64

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Solution

The third proportional to 347.80 and 541.64 is: 843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.80 : 541.64 = 541.64 : x
  2. Step 2: Convert to fraction form
    347.80/541.64 = 541.64/x
  3. Step 3: Cross multiply
    347.80x = 541.64 × 541.64
  4. Step 4: Simplify right side
    347.80x = 293,374.57
  5. Step 5: Solve for x
    x = 293,374.57/347.80
  6. Step 6: Final answer
    x = 843.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.