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Finding the Third Proportional to 247.64 and 535.78

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Solution

The third proportional to 247.64 and 535.78 is: 1,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.64 : 535.78 = 535.78 : x
  2. Step 2: Convert to fraction form
    247.64/535.78 = 535.78/x
  3. Step 3: Cross multiply
    247.64x = 535.78 × 535.78
  4. Step 4: Simplify right side
    247.64x = 287,061.55
  5. Step 5: Solve for x
    x = 287,061.55/247.64
  6. Step 6: Final answer
    x = 1,159.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.