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Finding the Third Proportional to 69,498 and 151,742

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Solution

The third proportional to 69,498 and 151,742 is: 331,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,498 : 151,742 = 151,742 : x
  2. Step 2: Convert to fraction form
    69,498/151,742 = 151,742/x
  3. Step 3: Cross multiply
    69,498x = 151,742 × 151,742
  4. Step 4: Simplify right side
    69,498x = 23,025,634,564
  5. Step 5: Solve for x
    x = 23,025,634,564/69,498
  6. Step 6: Final answer
    x = 331,313.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.