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Finding the Third Proportional to 324,081 and 490,599.28

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Solution

The third proportional to 324,081 and 490,599.28 is: 742,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,081 : 490,599.28 = 490,599.28 : x
  2. Step 2: Convert to fraction form
    324,081/490,599.28 = 490,599.28/x
  3. Step 3: Cross multiply
    324,081x = 490,599.28 × 490,599.28
  4. Step 4: Simplify right side
    324,081x = 240,687,654,763.02
  5. Step 5: Solve for x
    x = 240,687,654,763.02/324,081
  6. Step 6: Final answer
    x = 742,677.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.