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Finding the Third Proportional to 194,304 and 420,864

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Solution

The third proportional to 194,304 and 420,864 is: 911,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,304 : 420,864 = 420,864 : x
  2. Step 2: Convert to fraction form
    194,304/420,864 = 420,864/x
  3. Step 3: Cross multiply
    194,304x = 420,864 × 420,864
  4. Step 4: Simplify right side
    194,304x = 177,126,506,496
  5. Step 5: Solve for x
    x = 177,126,506,496/194,304
  6. Step 6: Final answer
    x = 911,594.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.