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Finding the Third Proportional to 78,151 and 171,207

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Solution

The third proportional to 78,151 and 171,207 is: 375,066.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,151 : 171,207 = 171,207 : x
  2. Step 2: Convert to fraction form
    78,151/171,207 = 171,207/x
  3. Step 3: Cross multiply
    78,151x = 171,207 × 171,207
  4. Step 4: Simplify right side
    78,151x = 29,311,836,849
  5. Step 5: Solve for x
    x = 29,311,836,849/78,151
  6. Step 6: Final answer
    x = 375,066.69

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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.