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Finding the Third Proportional to 347.63 and 520.13

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Solution

The third proportional to 347.63 and 520.13 is: 778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.63 : 520.13 = 520.13 : x
  2. Step 2: Convert to fraction form
    347.63/520.13 = 520.13/x
  3. Step 3: Cross multiply
    347.63x = 520.13 × 520.13
  4. Step 4: Simplify right side
    347.63x = 270,530.02
  5. Step 5: Solve for x
    x = 270,530.02/347.63
  6. Step 6: Final answer
    x = 778.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.