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Finding the Third Proportional to 77,796 and 120,690

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Solution

The third proportional to 77,796 and 120,690 is: 187,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,796 : 120,690 = 120,690 : x
  2. Step 2: Convert to fraction form
    77,796/120,690 = 120,690/x
  3. Step 3: Cross multiply
    77,796x = 120,690 × 120,690
  4. Step 4: Simplify right side
    77,796x = 14,566,076,100
  5. Step 5: Solve for x
    x = 14,566,076,100/77,796
  6. Step 6: Final answer
    x = 187,234.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.