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Finding the Third Proportional to 129,116 and 193,610

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Solution

The third proportional to 129,116 and 193,610 is: 290,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,116 : 193,610 = 193,610 : x
  2. Step 2: Convert to fraction form
    129,116/193,610 = 193,610/x
  3. Step 3: Cross multiply
    129,116x = 193,610 × 193,610
  4. Step 4: Simplify right side
    129,116x = 37,484,832,100
  5. Step 5: Solve for x
    x = 37,484,832,100/129,116
  6. Step 6: Final answer
    x = 290,319.03

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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.