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Finding the Third Proportional to 151,299 and 329,211.75

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Solution

The third proportional to 151,299 and 329,211.75 is: 716,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,299 : 329,211.75 = 329,211.75 : x
  2. Step 2: Convert to fraction form
    151,299/329,211.75 = 329,211.75/x
  3. Step 3: Cross multiply
    151,299x = 329,211.75 × 329,211.75
  4. Step 4: Simplify right side
    151,299x = 108,380,376,338.06
  5. Step 5: Solve for x
    x = 108,380,376,338.06/151,299
  6. Step 6: Final answer
    x = 716,332.40

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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.