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Finding the Third Proportional to 185,048 and 398,905

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Solution

The third proportional to 185,048 and 398,905 is: 859,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,048 : 398,905 = 398,905 : x
  2. Step 2: Convert to fraction form
    185,048/398,905 = 398,905/x
  3. Step 3: Cross multiply
    185,048x = 398,905 × 398,905
  4. Step 4: Simplify right side
    185,048x = 159,125,199,025
  5. Step 5: Solve for x
    x = 159,125,199,025/185,048
  6. Step 6: Final answer
    x = 859,913.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.