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Finding the Third Proportional to 77,124 and 122,220

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Solution

The third proportional to 77,124 and 122,220 is: 193,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,124 : 122,220 = 122,220 : x
  2. Step 2: Convert to fraction form
    77,124/122,220 = 122,220/x
  3. Step 3: Cross multiply
    77,124x = 122,220 × 122,220
  4. Step 4: Simplify right side
    77,124x = 14,937,728,400
  5. Step 5: Solve for x
    x = 14,937,728,400/77,124
  6. Step 6: Final answer
    x = 193,684.57

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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.