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Finding the Third Proportional to 195,016 and 420,364

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Solution

The third proportional to 195,016 and 420,364 is: 906,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,016 : 420,364 = 420,364 : x
  2. Step 2: Convert to fraction form
    195,016/420,364 = 420,364/x
  3. Step 3: Cross multiply
    195,016x = 420,364 × 420,364
  4. Step 4: Simplify right side
    195,016x = 176,705,892,496
  5. Step 5: Solve for x
    x = 176,705,892,496/195,016
  6. Step 6: Final answer
    x = 906,109.72

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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.