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Finding the Third Proportional to 258,525 and 386,223

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Solution

The third proportional to 258,525 and 386,223 is: 576,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,525 : 386,223 = 386,223 : x
  2. Step 2: Convert to fraction form
    258,525/386,223 = 386,223/x
  3. Step 3: Cross multiply
    258,525x = 386,223 × 386,223
  4. Step 4: Simplify right side
    258,525x = 149,168,205,729
  5. Step 5: Solve for x
    x = 149,168,205,729/258,525
  6. Step 6: Final answer
    x = 576,997.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.