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Finding the Third Proportional to 98,120 and 207,928

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Solution

The third proportional to 98,120 and 207,928 is: 440,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,120 : 207,928 = 207,928 : x
  2. Step 2: Convert to fraction form
    98,120/207,928 = 207,928/x
  3. Step 3: Cross multiply
    98,120x = 207,928 × 207,928
  4. Step 4: Simplify right side
    98,120x = 43,234,053,184
  5. Step 5: Solve for x
    x = 43,234,053,184/98,120
  6. Step 6: Final answer
    x = 440,624.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.