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Finding the Third Proportional to 321,857.30 and 486,928.97

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Solution

The third proportional to 321,857.30 and 486,928.97 is: 736,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,857.30 : 486,928.97 = 486,928.97 : x
  2. Step 2: Convert to fraction form
    321,857.30/486,928.97 = 486,928.97/x
  3. Step 3: Cross multiply
    321,857.30x = 486,928.97 × 486,928.97
  4. Step 4: Simplify right side
    321,857.30x = 237,099,820,607.94
  5. Step 5: Solve for x
    x = 237,099,820,607.94/321,857.30
  6. Step 6: Final answer
    x = 736,661.32

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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.