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Finding the Third Proportional to 69,488 and 149,788

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Solution

The third proportional to 69,488 and 149,788 is: 322,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,488 : 149,788 = 149,788 : x
  2. Step 2: Convert to fraction form
    69,488/149,788 = 149,788/x
  3. Step 3: Cross multiply
    69,488x = 149,788 × 149,788
  4. Step 4: Simplify right side
    69,488x = 22,436,444,944
  5. Step 5: Solve for x
    x = 22,436,444,944/69,488
  6. Step 6: Final answer
    x = 322,882.30

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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.