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Finding the Third Proportional to 218,982 and 472,143

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Solution

The third proportional to 218,982 and 472,143 is: 1,017,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,982 : 472,143 = 472,143 : x
  2. Step 2: Convert to fraction form
    218,982/472,143 = 472,143/x
  3. Step 3: Cross multiply
    218,982x = 472,143 × 472,143
  4. Step 4: Simplify right side
    218,982x = 222,919,012,449
  5. Step 5: Solve for x
    x = 222,919,012,449/218,982
  6. Step 6: Final answer
    x = 1,017,978.70

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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.