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Finding the Third Proportional to 101,971 and 218,708

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Solution

The third proportional to 101,971 and 218,708 is: 469,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,971 : 218,708 = 218,708 : x
  2. Step 2: Convert to fraction form
    101,971/218,708 = 218,708/x
  3. Step 3: Cross multiply
    101,971x = 218,708 × 218,708
  4. Step 4: Simplify right side
    101,971x = 47,833,189,264
  5. Step 5: Solve for x
    x = 47,833,189,264/101,971
  6. Step 6: Final answer
    x = 469,086.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.