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Finding the Third Proportional to 74,271 and 154,661

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Solution

The third proportional to 74,271 and 154,661 is: 322,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,271 : 154,661 = 154,661 : x
  2. Step 2: Convert to fraction form
    74,271/154,661 = 154,661/x
  3. Step 3: Cross multiply
    74,271x = 154,661 × 154,661
  4. Step 4: Simplify right side
    74,271x = 23,920,024,921
  5. Step 5: Solve for x
    x = 23,920,024,921/74,271
  6. Step 6: Final answer
    x = 322,064.13

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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.