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Finding the Third Proportional to 158,821 and 238,285

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Solution

The third proportional to 158,821 and 238,285 is: 357,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,821 : 238,285 = 238,285 : x
  2. Step 2: Convert to fraction form
    158,821/238,285 = 238,285/x
  3. Step 3: Cross multiply
    158,821x = 238,285 × 238,285
  4. Step 4: Simplify right side
    158,821x = 56,779,741,225
  5. Step 5: Solve for x
    x = 56,779,741,225/158,821
  6. Step 6: Final answer
    x = 357,507.77

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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.