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Finding the Third Proportional to 77,118 and 122,211

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Solution

The third proportional to 77,118 and 122,211 is: 193,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,118 : 122,211 = 122,211 : x
  2. Step 2: Convert to fraction form
    77,118/122,211 = 122,211/x
  3. Step 3: Cross multiply
    77,118x = 122,211 × 122,211
  4. Step 4: Simplify right side
    77,118x = 14,935,528,521
  5. Step 5: Solve for x
    x = 14,935,528,521/77,118
  6. Step 6: Final answer
    x = 193,671.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.