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Finding the Third Proportional to 321,885 and 497,623.50

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Solution

The third proportional to 321,885 and 497,623.50 is: 769,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,885 : 497,623.50 = 497,623.50 : x
  2. Step 2: Convert to fraction form
    321,885/497,623.50 = 497,623.50/x
  3. Step 3: Cross multiply
    321,885x = 497,623.50 × 497,623.50
  4. Step 4: Simplify right side
    321,885x = 247,629,147,752.25
  5. Step 5: Solve for x
    x = 247,629,147,752.25/321,885
  6. Step 6: Final answer
    x = 769,309.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.