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Finding the Third Proportional to 185,029 and 398,609

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Solution

The third proportional to 185,029 and 398,609 is: 858,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,029 : 398,609 = 398,609 : x
  2. Step 2: Convert to fraction form
    185,029/398,609 = 398,609/x
  3. Step 3: Cross multiply
    185,029x = 398,609 × 398,609
  4. Step 4: Simplify right side
    185,029x = 158,889,134,881
  5. Step 5: Solve for x
    x = 158,889,134,881/185,029
  6. Step 6: Final answer
    x = 858,725.58

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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.