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Finding the Third Proportional to 98,721 and 213,203

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Solution

The third proportional to 98,721 and 213,203 is: 460,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,721 : 213,203 = 213,203 : x
  2. Step 2: Convert to fraction form
    98,721/213,203 = 213,203/x
  3. Step 3: Cross multiply
    98,721x = 213,203 × 213,203
  4. Step 4: Simplify right side
    98,721x = 45,455,519,209
  5. Step 5: Solve for x
    x = 45,455,519,209/98,721
  6. Step 6: Final answer
    x = 460,444.27

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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.