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Finding the Third Proportional to 91,686 and 138,136

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Solution

The third proportional to 91,686 and 138,136 is: 208,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,686 : 138,136 = 138,136 : x
  2. Step 2: Convert to fraction form
    91,686/138,136 = 138,136/x
  3. Step 3: Cross multiply
    91,686x = 138,136 × 138,136
  4. Step 4: Simplify right side
    91,686x = 19,081,554,496
  5. Step 5: Solve for x
    x = 19,081,554,496/91,686
  6. Step 6: Final answer
    x = 208,118.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.