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Finding the Third Proportional to 77,752 and 120,063

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Solution

The third proportional to 77,752 and 120,063 is: 185,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,752 : 120,063 = 120,063 : x
  2. Step 2: Convert to fraction form
    77,752/120,063 = 120,063/x
  3. Step 3: Cross multiply
    77,752x = 120,063 × 120,063
  4. Step 4: Simplify right side
    77,752x = 14,415,123,969
  5. Step 5: Solve for x
    x = 14,415,123,969/77,752
  6. Step 6: Final answer
    x = 185,398.75

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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.