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Finding the Third Proportional to 78,149 and 171,202

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Solution

The third proportional to 78,149 and 171,202 is: 375,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,149 : 171,202 = 171,202 : x
  2. Step 2: Convert to fraction form
    78,149/171,202 = 171,202/x
  3. Step 3: Cross multiply
    78,149x = 171,202 × 171,202
  4. Step 4: Simplify right side
    78,149x = 29,310,124,804
  5. Step 5: Solve for x
    x = 29,310,124,804/78,149
  6. Step 6: Final answer
    x = 375,054.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.