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Finding the Third Proportional to 70,821 and 154,521

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Solution

The third proportional to 70,821 and 154,521 is: 337,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,821 : 154,521 = 154,521 : x
  2. Step 2: Convert to fraction form
    70,821/154,521 = 154,521/x
  3. Step 3: Cross multiply
    70,821x = 154,521 × 154,521
  4. Step 4: Simplify right side
    70,821x = 23,876,739,441
  5. Step 5: Solve for x
    x = 23,876,739,441/70,821
  6. Step 6: Final answer
    x = 337,142.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.