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Finding the Third Proportional to 69,579 and 149,904

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Solution

The third proportional to 69,579 and 149,904 is: 322,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,579 : 149,904 = 149,904 : x
  2. Step 2: Convert to fraction form
    69,579/149,904 = 149,904/x
  3. Step 3: Cross multiply
    69,579x = 149,904 × 149,904
  4. Step 4: Simplify right side
    69,579x = 22,471,209,216
  5. Step 5: Solve for x
    x = 22,471,209,216/69,579
  6. Step 6: Final answer
    x = 322,959.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.