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Finding the Third Proportional to 194,662 and 420,396

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Solution

The third proportional to 194,662 and 420,396 is: 907,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,662 : 420,396 = 420,396 : x
  2. Step 2: Convert to fraction form
    194,662/420,396 = 420,396/x
  3. Step 3: Cross multiply
    194,662x = 420,396 × 420,396
  4. Step 4: Simplify right side
    194,662x = 176,732,796,816
  5. Step 5: Solve for x
    x = 176,732,796,816/194,662
  6. Step 6: Final answer
    x = 907,895.72

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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.