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Finding the Third Proportional to 69,764 and 149,368

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Solution

The third proportional to 69,764 and 149,368 is: 319,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,764 : 149,368 = 149,368 : x
  2. Step 2: Convert to fraction form
    69,764/149,368 = 149,368/x
  3. Step 3: Cross multiply
    69,764x = 149,368 × 149,368
  4. Step 4: Simplify right side
    69,764x = 22,310,799,424
  5. Step 5: Solve for x
    x = 22,310,799,424/69,764
  6. Step 6: Final answer
    x = 319,803.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.