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Finding the Third Proportional to 77,844 and 120,411

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Solution

The third proportional to 77,844 and 120,411 is: 186,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,844 : 120,411 = 120,411 : x
  2. Step 2: Convert to fraction form
    77,844/120,411 = 120,411/x
  3. Step 3: Cross multiply
    77,844x = 120,411 × 120,411
  4. Step 4: Simplify right side
    77,844x = 14,498,808,921
  5. Step 5: Solve for x
    x = 14,498,808,921/77,844
  6. Step 6: Final answer
    x = 186,254.68

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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.