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Finding the Third Proportional to 105,129 and 158,787

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Solution

The third proportional to 105,129 and 158,787 is: 239,832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,129 : 158,787 = 158,787 : x
  2. Step 2: Convert to fraction form
    105,129/158,787 = 158,787/x
  3. Step 3: Cross multiply
    105,129x = 158,787 × 158,787
  4. Step 4: Simplify right side
    105,129x = 25,213,311,369
  5. Step 5: Solve for x
    x = 25,213,311,369/105,129
  6. Step 6: Final answer
    x = 239,832.12

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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.