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Finding the Third Proportional to 148,579.88 and 309,471.75

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Solution

The third proportional to 148,579.88 and 309,471.75 is: 644,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,579.88 : 309,471.75 = 309,471.75 : x
  2. Step 2: Convert to fraction form
    148,579.88/309,471.75 = 309,471.75/x
  3. Step 3: Cross multiply
    148,579.88x = 309,471.75 × 309,471.75
  4. Step 4: Simplify right side
    148,579.88x = 95,772,764,048.06
  5. Step 5: Solve for x
    x = 95,772,764,048.06/148,579.88
  6. Step 6: Final answer
    x = 644,587.73

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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.