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Finding the Third Proportional to 218,304 and 470,192

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Solution

The third proportional to 218,304 and 470,192 is: 1,012,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,304 : 470,192 = 470,192 : x
  2. Step 2: Convert to fraction form
    218,304/470,192 = 470,192/x
  3. Step 3: Cross multiply
    218,304x = 470,192 × 470,192
  4. Step 4: Simplify right side
    218,304x = 221,080,516,864
  5. Step 5: Solve for x
    x = 221,080,516,864/218,304
  6. Step 6: Final answer
    x = 1,012,718.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.