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Finding the Third Proportional to 77,861 and 120,295

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Solution

The third proportional to 77,861 and 120,295 is: 185,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,861 : 120,295 = 120,295 : x
  2. Step 2: Convert to fraction form
    77,861/120,295 = 120,295/x
  3. Step 3: Cross multiply
    77,861x = 120,295 × 120,295
  4. Step 4: Simplify right side
    77,861x = 14,470,887,025
  5. Step 5: Solve for x
    x = 14,470,887,025/77,861
  6. Step 6: Final answer
    x = 185,855.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.