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Finding the Third Proportional to 187,902 and 438,519

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Solution

The third proportional to 187,902 and 438,519 is: 1,023,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,902 : 438,519 = 438,519 : x
  2. Step 2: Convert to fraction form
    187,902/438,519 = 438,519/x
  3. Step 3: Cross multiply
    187,902x = 438,519 × 438,519
  4. Step 4: Simplify right side
    187,902x = 192,298,913,361
  5. Step 5: Solve for x
    x = 192,298,913,361/187,902
  6. Step 6: Final answer
    x = 1,023,400.03

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.