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Finding the Third Proportional to 154,540 and 320,919

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Solution

The third proportional to 154,540 and 320,919 is: 666,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,540 : 320,919 = 320,919 : x
  2. Step 2: Convert to fraction form
    154,540/320,919 = 320,919/x
  3. Step 3: Cross multiply
    154,540x = 320,919 × 320,919
  4. Step 4: Simplify right side
    154,540x = 102,989,004,561
  5. Step 5: Solve for x
    x = 102,989,004,561/154,540
  6. Step 6: Final answer
    x = 666,422.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.