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Finding the Third Proportional to 128,351 and 278,086

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Solution

The third proportional to 128,351 and 278,086 is: 602,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,351 : 278,086 = 278,086 : x
  2. Step 2: Convert to fraction form
    128,351/278,086 = 278,086/x
  3. Step 3: Cross multiply
    128,351x = 278,086 × 278,086
  4. Step 4: Simplify right side
    128,351x = 77,331,823,396
  5. Step 5: Solve for x
    x = 77,331,823,396/128,351
  6. Step 6: Final answer
    x = 602,502.69

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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.