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Finding the Third Proportional to 347.25 and 515.63

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Solution

The third proportional to 347.25 and 515.63 is: 765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.25 : 515.63 = 515.63 : x
  2. Step 2: Convert to fraction form
    347.25/515.63 = 515.63/x
  3. Step 3: Cross multiply
    347.25x = 515.63 × 515.63
  4. Step 4: Simplify right side
    347.25x = 265,869.14
  5. Step 5: Solve for x
    x = 265,869.14/347.25
  6. Step 6: Final answer
    x = 765.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.