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Finding the Third Proportional to 115,328 and 253,376

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Solution

The third proportional to 115,328 and 253,376 is: 556,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,328 : 253,376 = 253,376 : x
  2. Step 2: Convert to fraction form
    115,328/253,376 = 253,376/x
  3. Step 3: Cross multiply
    115,328x = 253,376 × 253,376
  4. Step 4: Simplify right side
    115,328x = 64,199,397,376
  5. Step 5: Solve for x
    x = 64,199,397,376/115,328
  6. Step 6: Final answer
    x = 556,667.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.