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Finding the Third Proportional to 76,715 and 117,746

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Solution

The third proportional to 76,715 and 117,746 is: 180,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,715 : 117,746 = 117,746 : x
  2. Step 2: Convert to fraction form
    76,715/117,746 = 117,746/x
  3. Step 3: Cross multiply
    76,715x = 117,746 × 117,746
  4. Step 4: Simplify right side
    76,715x = 13,864,120,516
  5. Step 5: Solve for x
    x = 13,864,120,516/76,715
  6. Step 6: Final answer
    x = 180,722.42

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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.