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Finding the Third Proportional to 69,756 and 151,332

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Solution

The third proportional to 69,756 and 151,332 is: 328,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,756 : 151,332 = 151,332 : x
  2. Step 2: Convert to fraction form
    69,756/151,332 = 151,332/x
  3. Step 3: Cross multiply
    69,756x = 151,332 × 151,332
  4. Step 4: Simplify right side
    69,756x = 22,901,374,224
  5. Step 5: Solve for x
    x = 22,901,374,224/69,756
  6. Step 6: Final answer
    x = 328,306.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.