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Finding the Third Proportional to 387,765 and 582,057

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Solution

The third proportional to 387,765 and 582,057 is: 873,700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,765 : 582,057 = 582,057 : x
  2. Step 2: Convert to fraction form
    387,765/582,057 = 582,057/x
  3. Step 3: Cross multiply
    387,765x = 582,057 × 582,057
  4. Step 4: Simplify right side
    387,765x = 338,790,351,249
  5. Step 5: Solve for x
    x = 338,790,351,249/387,765
  6. Step 6: Final answer
    x = 873,700.18

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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.