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Finding the Third Proportional to 158,901.75 and 330,743.25

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Solution

The third proportional to 158,901.75 and 330,743.25 is: 688,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,901.75 : 330,743.25 = 330,743.25 : x
  2. Step 2: Convert to fraction form
    158,901.75/330,743.25 = 330,743.25/x
  3. Step 3: Cross multiply
    158,901.75x = 330,743.25 × 330,743.25
  4. Step 4: Simplify right side
    158,901.75x = 109,391,097,420.56
  5. Step 5: Solve for x
    x = 109,391,097,420.56/158,901.75
  6. Step 6: Final answer
    x = 688,419.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.