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Finding the Third Proportional to 77,136 and 122,244

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Solution

The third proportional to 77,136 and 122,244 is: 193,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,136 : 122,244 = 122,244 : x
  2. Step 2: Convert to fraction form
    77,136/122,244 = 122,244/x
  3. Step 3: Cross multiply
    77,136x = 122,244 × 122,244
  4. Step 4: Simplify right side
    77,136x = 14,943,595,536
  5. Step 5: Solve for x
    x = 14,943,595,536/77,136
  6. Step 6: Final answer
    x = 193,730.50

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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.