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Finding the Third Proportional to 78,966 and 172,693

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Solution

The third proportional to 78,966 and 172,693 is: 377,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,966 : 172,693 = 172,693 : x
  2. Step 2: Convert to fraction form
    78,966/172,693 = 172,693/x
  3. Step 3: Cross multiply
    78,966x = 172,693 × 172,693
  4. Step 4: Simplify right side
    78,966x = 29,822,872,249
  5. Step 5: Solve for x
    x = 29,822,872,249/78,966
  6. Step 6: Final answer
    x = 377,667.25

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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.