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Finding the Third Proportional to 218,920 and 472,768

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Solution

The third proportional to 218,920 and 472,768 is: 1,020,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,920 : 472,768 = 472,768 : x
  2. Step 2: Convert to fraction form
    218,920/472,768 = 472,768/x
  3. Step 3: Cross multiply
    218,920x = 472,768 × 472,768
  4. Step 4: Simplify right side
    218,920x = 223,509,581,824
  5. Step 5: Solve for x
    x = 223,509,581,824/218,920
  6. Step 6: Final answer
    x = 1,020,964.65

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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.