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Finding the Third Proportional to 218,960 and 472,928

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Solution

The third proportional to 218,960 and 472,928 is: 1,021,469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,960 : 472,928 = 472,928 : x
  2. Step 2: Convert to fraction form
    218,960/472,928 = 472,928/x
  3. Step 3: Cross multiply
    218,960x = 472,928 × 472,928
  4. Step 4: Simplify right side
    218,960x = 223,660,893,184
  5. Step 5: Solve for x
    x = 223,660,893,184/218,960
  6. Step 6: Final answer
    x = 1,021,469.19

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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.