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Finding the Third Proportional to 105,121 and 158,775

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Solution

The third proportional to 105,121 and 158,775 is: 239,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,121 : 158,775 = 158,775 : x
  2. Step 2: Convert to fraction form
    105,121/158,775 = 158,775/x
  3. Step 3: Cross multiply
    105,121x = 158,775 × 158,775
  4. Step 4: Simplify right side
    105,121x = 25,209,500,625
  5. Step 5: Solve for x
    x = 25,209,500,625/105,121
  6. Step 6: Final answer
    x = 239,814.12

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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.