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Finding the Third Proportional to 69,468 and 149,742

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Solution

The third proportional to 69,468 and 149,742 is: 322,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,468 : 149,742 = 149,742 : x
  2. Step 2: Convert to fraction form
    69,468/149,742 = 149,742/x
  3. Step 3: Cross multiply
    69,468x = 149,742 × 149,742
  4. Step 4: Simplify right side
    69,468x = 22,422,666,564
  5. Step 5: Solve for x
    x = 22,422,666,564/69,468
  6. Step 6: Final answer
    x = 322,776.91

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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.