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Finding the Third Proportional to 71,718 and 151,638

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Solution

The third proportional to 71,718 and 151,638 is: 320,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,718 : 151,638 = 151,638 : x
  2. Step 2: Convert to fraction form
    71,718/151,638 = 151,638/x
  3. Step 3: Cross multiply
    71,718x = 151,638 × 151,638
  4. Step 4: Simplify right side
    71,718x = 22,994,083,044
  5. Step 5: Solve for x
    x = 22,994,083,044/71,718
  6. Step 6: Final answer
    x = 320,618.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.