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Finding the Third Proportional to 77,768 and 120,648

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Solution

The third proportional to 77,768 and 120,648 is: 187,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,768 : 120,648 = 120,648 : x
  2. Step 2: Convert to fraction form
    77,768/120,648 = 120,648/x
  3. Step 3: Cross multiply
    77,768x = 120,648 × 120,648
  4. Step 4: Simplify right side
    77,768x = 14,555,939,904
  5. Step 5: Solve for x
    x = 14,555,939,904/77,768
  6. Step 6: Final answer
    x = 187,171.33

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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.