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Finding the Third Proportional to 258,774 and 387,081

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Solution

The third proportional to 258,774 and 387,081 is: 579,006.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,774 : 387,081 = 387,081 : x
  2. Step 2: Convert to fraction form
    258,774/387,081 = 387,081/x
  3. Step 3: Cross multiply
    258,774x = 387,081 × 387,081
  4. Step 4: Simplify right side
    258,774x = 149,831,700,561
  5. Step 5: Solve for x
    x = 149,831,700,561/258,774
  6. Step 6: Final answer
    x = 579,006.01

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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.