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Finding the Third Proportional to 176,540 and 378,344

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Solution

The third proportional to 176,540 and 378,344 is: 810,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,540 : 378,344 = 378,344 : x
  2. Step 2: Convert to fraction form
    176,540/378,344 = 378,344/x
  3. Step 3: Cross multiply
    176,540x = 378,344 × 378,344
  4. Step 4: Simplify right side
    176,540x = 143,144,182,336
  5. Step 5: Solve for x
    x = 143,144,182,336/176,540
  6. Step 6: Final answer
    x = 810,831.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.