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Finding the Third Proportional to 387,739 and 582,018

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Solution

The third proportional to 387,739 and 582,018 is: 873,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,739 : 582,018 = 582,018 : x
  2. Step 2: Convert to fraction form
    387,739/582,018 = 582,018/x
  3. Step 3: Cross multiply
    387,739x = 582,018 × 582,018
  4. Step 4: Simplify right side
    387,739x = 338,744,952,324
  5. Step 5: Solve for x
    x = 338,744,952,324/387,739
  6. Step 6: Final answer
    x = 873,641.68

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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.