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Finding the Third Proportional to 78,183 and 121,136

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Solution

The third proportional to 78,183 and 121,136 is: 187,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,183 : 121,136 = 121,136 : x
  2. Step 2: Convert to fraction form
    78,183/121,136 = 121,136/x
  3. Step 3: Cross multiply
    78,183x = 121,136 × 121,136
  4. Step 4: Simplify right side
    78,183x = 14,673,930,496
  5. Step 5: Solve for x
    x = 14,673,930,496/78,183
  6. Step 6: Final answer
    x = 187,686.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.