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Finding the Third Proportional to 185,146 and 398,418

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Solution

The third proportional to 185,146 and 398,418 is: 857,360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,146 : 398,418 = 398,418 : x
  2. Step 2: Convert to fraction form
    185,146/398,418 = 398,418/x
  3. Step 3: Cross multiply
    185,146x = 398,418 × 398,418
  4. Step 4: Simplify right side
    185,146x = 158,736,902,724
  5. Step 5: Solve for x
    x = 158,736,902,724/185,146
  6. Step 6: Final answer
    x = 857,360.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.