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Finding the Third Proportional to 98,726 and 213,215

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Solution

The third proportional to 98,726 and 213,215 is: 460,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,726 : 213,215 = 213,215 : x
  2. Step 2: Convert to fraction form
    98,726/213,215 = 213,215/x
  3. Step 3: Cross multiply
    98,726x = 213,215 × 213,215
  4. Step 4: Simplify right side
    98,726x = 45,460,636,225
  5. Step 5: Solve for x
    x = 45,460,636,225/98,726
  6. Step 6: Final answer
    x = 460,472.79

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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.