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Finding the Third Proportional to 101,972 and 218,701

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Solution

The third proportional to 101,972 and 218,701 is: 469,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,972 : 218,701 = 218,701 : x
  2. Step 2: Convert to fraction form
    101,972/218,701 = 218,701/x
  3. Step 3: Cross multiply
    101,972x = 218,701 × 218,701
  4. Step 4: Simplify right side
    101,972x = 47,830,127,401
  5. Step 5: Solve for x
    x = 47,830,127,401/101,972
  6. Step 6: Final answer
    x = 469,051.58

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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.