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Finding the Third Proportional to 159,857 and 238,687

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Solution

The third proportional to 159,857 and 238,687 is: 356,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,857 : 238,687 = 238,687 : x
  2. Step 2: Convert to fraction form
    159,857/238,687 = 238,687/x
  3. Step 3: Cross multiply
    159,857x = 238,687 × 238,687
  4. Step 4: Simplify right side
    159,857x = 56,971,483,969
  5. Step 5: Solve for x
    x = 56,971,483,969/159,857
  6. Step 6: Final answer
    x = 356,390.30

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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.