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Finding the Third Proportional to 177,908 and 278,526

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Solution

The third proportional to 177,908 and 278,526 is: 436,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,908 : 278,526 = 278,526 : x
  2. Step 2: Convert to fraction form
    177,908/278,526 = 278,526/x
  3. Step 3: Cross multiply
    177,908x = 278,526 × 278,526
  4. Step 4: Simplify right side
    177,908x = 77,576,732,676
  5. Step 5: Solve for x
    x = 77,576,732,676/177,908
  6. Step 6: Final answer
    x = 436,049.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.