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Finding the Third Proportional to 98,631 and 215,298

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Solution

The third proportional to 98,631 and 215,298 is: 469,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,631 : 215,298 = 215,298 : x
  2. Step 2: Convert to fraction form
    98,631/215,298 = 215,298/x
  3. Step 3: Cross multiply
    98,631x = 215,298 × 215,298
  4. Step 4: Simplify right side
    98,631x = 46,353,228,804
  5. Step 5: Solve for x
    x = 46,353,228,804/98,631
  6. Step 6: Final answer
    x = 469,966.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.