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Finding the Third Proportional to 77,716 and 120,009

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Solution

The third proportional to 77,716 and 120,009 is: 185,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,716 : 120,009 = 120,009 : x
  2. Step 2: Convert to fraction form
    77,716/120,009 = 120,009/x
  3. Step 3: Cross multiply
    77,716x = 120,009 × 120,009
  4. Step 4: Simplify right side
    77,716x = 14,402,160,081
  5. Step 5: Solve for x
    x = 14,402,160,081/77,716
  6. Step 6: Final answer
    x = 185,317.82

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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.