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Finding the Third Proportional to 77,838 and 120,771

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Solution

The third proportional to 77,838 and 120,771 is: 187,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,838 : 120,771 = 120,771 : x
  2. Step 2: Convert to fraction form
    77,838/120,771 = 120,771/x
  3. Step 3: Cross multiply
    77,838x = 120,771 × 120,771
  4. Step 4: Simplify right side
    77,838x = 14,585,634,441
  5. Step 5: Solve for x
    x = 14,585,634,441/77,838
  6. Step 6: Final answer
    x = 187,384.50

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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.