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Finding the Third Proportional to 70,780.69 and 149,759.44

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Solution

The third proportional to 70,780.69 and 149,759.44 is: 316,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,780.69 : 149,759.44 = 149,759.44 : x
  2. Step 2: Convert to fraction form
    70,780.69/149,759.44 = 149,759.44/x
  3. Step 3: Cross multiply
    70,780.69x = 149,759.44 × 149,759.44
  4. Step 4: Simplify right side
    70,780.69x = 22,427,889,120.32
  5. Step 5: Solve for x
    x = 22,427,889,120.32/70,780.69
  6. Step 6: Final answer
    x = 316,864.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.