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Finding the Third Proportional to 387,770 and 582,065

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Solution

The third proportional to 387,770 and 582,065 is: 873,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,770 : 582,065 = 582,065 : x
  2. Step 2: Convert to fraction form
    387,770/582,065 = 582,065/x
  3. Step 3: Cross multiply
    387,770x = 582,065 × 582,065
  4. Step 4: Simplify right side
    387,770x = 338,799,664,225
  5. Step 5: Solve for x
    x = 338,799,664,225/387,770
  6. Step 6: Final answer
    x = 873,712.93

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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.