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Finding the Third Proportional to 128,348 and 279,074

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Solution

The third proportional to 128,348 and 279,074 is: 606,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,348 : 279,074 = 279,074 : x
  2. Step 2: Convert to fraction form
    128,348/279,074 = 279,074/x
  3. Step 3: Cross multiply
    128,348x = 279,074 × 279,074
  4. Step 4: Simplify right side
    128,348x = 77,882,297,476
  5. Step 5: Solve for x
    x = 77,882,297,476/128,348
  6. Step 6: Final answer
    x = 606,805.70

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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.