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Finding the Third Proportional to 158,731 and 239,716.50

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Solution

The third proportional to 158,731 and 239,716.50 is: 362,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,731 : 239,716.50 = 239,716.50 : x
  2. Step 2: Convert to fraction form
    158,731/239,716.50 = 239,716.50/x
  3. Step 3: Cross multiply
    158,731x = 239,716.50 × 239,716.50
  4. Step 4: Simplify right side
    158,731x = 57,464,000,372.25
  5. Step 5: Solve for x
    x = 57,464,000,372.25/158,731
  6. Step 6: Final answer
    x = 362,021.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.