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Finding the Third Proportional to 71,577 and 154,938

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Solution

The third proportional to 71,577 and 154,938 is: 335,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,577 : 154,938 = 154,938 : x
  2. Step 2: Convert to fraction form
    71,577/154,938 = 154,938/x
  3. Step 3: Cross multiply
    71,577x = 154,938 × 154,938
  4. Step 4: Simplify right side
    71,577x = 24,005,783,844
  5. Step 5: Solve for x
    x = 24,005,783,844/71,577
  6. Step 6: Final answer
    x = 335,384.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.