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Finding the Third Proportional to 77,908 and 122,082

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Solution

The third proportional to 77,908 and 122,082 is: 191,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,908 : 122,082 = 122,082 : x
  2. Step 2: Convert to fraction form
    77,908/122,082 = 122,082/x
  3. Step 3: Cross multiply
    77,908x = 122,082 × 122,082
  4. Step 4: Simplify right side
    77,908x = 14,904,014,724
  5. Step 5: Solve for x
    x = 14,904,014,724/77,908
  6. Step 6: Final answer
    x = 191,302.75

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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.