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Finding the Third Proportional to 326,919.38 and 490,708.13

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Solution

The third proportional to 326,919.38 and 490,708.13 is: 736,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,919.38 : 490,708.13 = 490,708.13 : x
  2. Step 2: Convert to fraction form
    326,919.38/490,708.13 = 490,708.13/x
  3. Step 3: Cross multiply
    326,919.38x = 490,708.13 × 490,708.13
  4. Step 4: Simplify right side
    326,919.38x = 240,794,463,941.02
  5. Step 5: Solve for x
    x = 240,794,463,941.02/326,919.38
  6. Step 6: Final answer
    x = 736,556.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.