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Finding the Third Proportional to 84,412 and 197,206

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Solution

The third proportional to 84,412 and 197,206 is: 460,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,412 : 197,206 = 197,206 : x
  2. Step 2: Convert to fraction form
    84,412/197,206 = 197,206/x
  3. Step 3: Cross multiply
    84,412x = 197,206 × 197,206
  4. Step 4: Simplify right side
    84,412x = 38,890,206,436
  5. Step 5: Solve for x
    x = 38,890,206,436/84,412
  6. Step 6: Final answer
    x = 460,718.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.