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Finding the Third Proportional to 76,817 and 156,683

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Solution

The third proportional to 76,817 and 156,683 is: 319,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,817 : 156,683 = 156,683 : x
  2. Step 2: Convert to fraction form
    76,817/156,683 = 156,683/x
  3. Step 3: Cross multiply
    76,817x = 156,683 × 156,683
  4. Step 4: Simplify right side
    76,817x = 24,549,562,489
  5. Step 5: Solve for x
    x = 24,549,562,489/76,817
  6. Step 6: Final answer
    x = 319,585.02

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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.