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Finding the Third Proportional to 128,248 and 278,231

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Solution

The third proportional to 128,248 and 278,231 is: 603,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,248 : 278,231 = 278,231 : x
  2. Step 2: Convert to fraction form
    128,248/278,231 = 278,231/x
  3. Step 3: Cross multiply
    128,248x = 278,231 × 278,231
  4. Step 4: Simplify right side
    128,248x = 77,412,489,361
  5. Step 5: Solve for x
    x = 77,412,489,361/128,248
  6. Step 6: Final answer
    x = 603,615.57

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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.