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Finding the Third Proportional to 138,164 and 206,392

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Solution

The third proportional to 138,164 and 206,392 is: 308,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,164 : 206,392 = 206,392 : x
  2. Step 2: Convert to fraction form
    138,164/206,392 = 206,392/x
  3. Step 3: Cross multiply
    138,164x = 206,392 × 206,392
  4. Step 4: Simplify right side
    138,164x = 42,597,657,664
  5. Step 5: Solve for x
    x = 42,597,657,664/138,164
  6. Step 6: Final answer
    x = 308,312.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.