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Finding the Third Proportional to 77,420 and 119,622

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Solution

The third proportional to 77,420 and 119,622 is: 184,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,420 : 119,622 = 119,622 : x
  2. Step 2: Convert to fraction form
    77,420/119,622 = 119,622/x
  3. Step 3: Cross multiply
    77,420x = 119,622 × 119,622
  4. Step 4: Simplify right side
    77,420x = 14,309,422,884
  5. Step 5: Solve for x
    x = 14,309,422,884/77,420
  6. Step 6: Final answer
    x = 184,828.51

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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.