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Finding the Third Proportional to 128,633 and 278,731

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Solution

The third proportional to 128,633 and 278,731 is: 603,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,633 : 278,731 = 278,731 : x
  2. Step 2: Convert to fraction form
    128,633/278,731 = 278,731/x
  3. Step 3: Cross multiply
    128,633x = 278,731 × 278,731
  4. Step 4: Simplify right side
    128,633x = 77,690,970,361
  5. Step 5: Solve for x
    x = 77,690,970,361/128,633
  6. Step 6: Final answer
    x = 603,973.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.