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Finding the Third Proportional to 38,942 and 86,646

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Solution

The third proportional to 38,942 and 86,646 is: 192,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,942 : 86,646 = 86,646 : x
  2. Step 2: Convert to fraction form
    38,942/86,646 = 86,646/x
  3. Step 3: Cross multiply
    38,942x = 86,646 × 86,646
  4. Step 4: Simplify right side
    38,942x = 7,507,529,316
  5. Step 5: Solve for x
    x = 7,507,529,316/38,942
  6. Step 6: Final answer
    x = 192,787.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.