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Finding the Third Proportional to 76,709 and 158,744

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Solution

The third proportional to 76,709 and 158,744 is: 328,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,709 : 158,744 = 158,744 : x
  2. Step 2: Convert to fraction form
    76,709/158,744 = 158,744/x
  3. Step 3: Cross multiply
    76,709x = 158,744 × 158,744
  4. Step 4: Simplify right side
    76,709x = 25,199,657,536
  5. Step 5: Solve for x
    x = 25,199,657,536/76,709
  6. Step 6: Final answer
    x = 328,509.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.