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Finding the Third Proportional to 98,456 and 202,720

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Solution

The third proportional to 98,456 and 202,720 is: 417,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,456 : 202,720 = 202,720 : x
  2. Step 2: Convert to fraction form
    98,456/202,720 = 202,720/x
  3. Step 3: Cross multiply
    98,456x = 202,720 × 202,720
  4. Step 4: Simplify right side
    98,456x = 41,095,398,400
  5. Step 5: Solve for x
    x = 41,095,398,400/98,456
  6. Step 6: Final answer
    x = 417,398.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.