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Finding the Third Proportional to 77,106 and 120,983

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Solution

The third proportional to 77,106 and 120,983 is: 189,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,106 : 120,983 = 120,983 : x
  2. Step 2: Convert to fraction form
    77,106/120,983 = 120,983/x
  3. Step 3: Cross multiply
    77,106x = 120,983 × 120,983
  4. Step 4: Simplify right side
    77,106x = 14,636,886,289
  5. Step 5: Solve for x
    x = 14,636,886,289/77,106
  6. Step 6: Final answer
    x = 189,828.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.