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Finding the Third Proportional to 128,257 and 278,416

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Solution

The third proportional to 128,257 and 278,416 is: 604,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,257 : 278,416 = 278,416 : x
  2. Step 2: Convert to fraction form
    128,257/278,416 = 278,416/x
  3. Step 3: Cross multiply
    128,257x = 278,416 × 278,416
  4. Step 4: Simplify right side
    128,257x = 77,515,469,056
  5. Step 5: Solve for x
    x = 77,515,469,056/128,257
  6. Step 6: Final answer
    x = 604,376.13

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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.