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Finding the Third Proportional to 386,800 and 591,320

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Solution

The third proportional to 386,800 and 591,320 is: 903,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,800 : 591,320 = 591,320 : x
  2. Step 2: Convert to fraction form
    386,800/591,320 = 591,320/x
  3. Step 3: Cross multiply
    386,800x = 591,320 × 591,320
  4. Step 4: Simplify right side
    386,800x = 349,659,342,400
  5. Step 5: Solve for x
    x = 349,659,342,400/386,800
  6. Step 6: Final answer
    x = 903,979.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.