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Finding the Third Proportional to 387,771 and 582,066

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Solution

The third proportional to 387,771 and 582,066 is: 873,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,771 : 582,066 = 582,066 : x
  2. Step 2: Convert to fraction form
    387,771/582,066 = 582,066/x
  3. Step 3: Cross multiply
    387,771x = 582,066 × 582,066
  4. Step 4: Simplify right side
    387,771x = 338,800,828,356
  5. Step 5: Solve for x
    x = 338,800,828,356/387,771
  6. Step 6: Final answer
    x = 873,713.68

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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.