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Finding the Third Proportional to 320,413 and 483,081

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Solution

The third proportional to 320,413 and 483,081 is: 728,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,413 : 483,081 = 483,081 : x
  2. Step 2: Convert to fraction form
    320,413/483,081 = 483,081/x
  3. Step 3: Cross multiply
    320,413x = 483,081 × 483,081
  4. Step 4: Simplify right side
    320,413x = 233,367,252,561
  5. Step 5: Solve for x
    x = 233,367,252,561/320,413
  6. Step 6: Final answer
    x = 728,332.66

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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.