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Finding the Third Proportional to 321,468.75 and 485,119.13

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Solution

The third proportional to 321,468.75 and 485,119.13 is: 732,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,468.75 : 485,119.13 = 485,119.13 : x
  2. Step 2: Convert to fraction form
    321,468.75/485,119.13 = 485,119.13/x
  3. Step 3: Cross multiply
    321,468.75x = 485,119.13 × 485,119.13
  4. Step 4: Simplify right side
    321,468.75x = 235,340,565,440.77
  5. Step 5: Solve for x
    x = 235,340,565,440.77/321,468.75
  6. Step 6: Final answer
    x = 732,079.14

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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.