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Finding the Third Proportional to 274,264 and 414,320

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Solution

The third proportional to 274,264 and 414,320 is: 625,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,264 : 414,320 = 414,320 : x
  2. Step 2: Convert to fraction form
    274,264/414,320 = 414,320/x
  3. Step 3: Cross multiply
    274,264x = 414,320 × 414,320
  4. Step 4: Simplify right side
    274,264x = 171,661,062,400
  5. Step 5: Solve for x
    x = 171,661,062,400/274,264
  6. Step 6: Final answer
    x = 625,897.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.