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Finding the Third Proportional to 76,821 and 156,691

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Solution

The third proportional to 76,821 and 156,691 is: 319,601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,821 : 156,691 = 156,691 : x
  2. Step 2: Convert to fraction form
    76,821/156,691 = 156,691/x
  3. Step 3: Cross multiply
    76,821x = 156,691 × 156,691
  4. Step 4: Simplify right side
    76,821x = 24,552,069,481
  5. Step 5: Solve for x
    x = 24,552,069,481/76,821
  6. Step 6: Final answer
    x = 319,601.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.