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Finding the Third Proportional to 218,964 and 472,120

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Solution

The third proportional to 218,964 and 472,120 is: 1,017,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,964 : 472,120 = 472,120 : x
  2. Step 2: Convert to fraction form
    218,964/472,120 = 472,120/x
  3. Step 3: Cross multiply
    218,964x = 472,120 × 472,120
  4. Step 4: Simplify right side
    218,964x = 222,897,294,400
  5. Step 5: Solve for x
    x = 222,897,294,400/218,964
  6. Step 6: Final answer
    x = 1,017,963.20

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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.