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Finding the Third Proportional to 76,684 and 117,706

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Solution

The third proportional to 76,684 and 117,706 is: 180,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684 : 117,706 = 117,706 : x
  2. Step 2: Convert to fraction form
    76,684/117,706 = 117,706/x
  3. Step 3: Cross multiply
    76,684x = 117,706 × 117,706
  4. Step 4: Simplify right side
    76,684x = 13,854,702,436
  5. Step 5: Solve for x
    x = 13,854,702,436/76,684
  6. Step 6: Final answer
    x = 180,672.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.