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Finding the Third Proportional to 192,291 and 420,789

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Solution

The third proportional to 192,291 and 420,789 is: 920,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,291 : 420,789 = 420,789 : x
  2. Step 2: Convert to fraction form
    192,291/420,789 = 420,789/x
  3. Step 3: Cross multiply
    192,291x = 420,789 × 420,789
  4. Step 4: Simplify right side
    192,291x = 177,063,382,521
  5. Step 5: Solve for x
    x = 177,063,382,521/192,291
  6. Step 6: Final answer
    x = 920,809.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.