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Finding the Third Proportional to 74,391 and 154,799

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Solution

The third proportional to 74,391 and 154,799 is: 322,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,391 : 154,799 = 154,799 : x
  2. Step 2: Convert to fraction form
    74,391/154,799 = 154,799/x
  3. Step 3: Cross multiply
    74,391x = 154,799 × 154,799
  4. Step 4: Simplify right side
    74,391x = 23,962,730,401
  5. Step 5: Solve for x
    x = 23,962,730,401/74,391
  6. Step 6: Final answer
    x = 322,118.68

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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.