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Finding the Third Proportional to 78,183 and 170,705.25

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Solution

The third proportional to 78,183 and 170,705.25 is: 372,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,183 : 170,705.25 = 170,705.25 : x
  2. Step 2: Convert to fraction form
    78,183/170,705.25 = 170,705.25/x
  3. Step 3: Cross multiply
    78,183x = 170,705.25 × 170,705.25
  4. Step 4: Simplify right side
    78,183x = 29,140,282,377.56
  5. Step 5: Solve for x
    x = 29,140,282,377.56/78,183
  6. Step 6: Final answer
    x = 372,718.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.