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Finding the Third Proportional to 68,917 and 148,391

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Solution

The third proportional to 68,917 and 148,391 is: 319,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,917 : 148,391 = 148,391 : x
  2. Step 2: Convert to fraction form
    68,917/148,391 = 148,391/x
  3. Step 3: Cross multiply
    68,917x = 148,391 × 148,391
  4. Step 4: Simplify right side
    68,917x = 22,019,888,881
  5. Step 5: Solve for x
    x = 22,019,888,881/68,917
  6. Step 6: Final answer
    x = 319,513.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.