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Finding the Third Proportional to 138,561 and 208,457

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Solution

The third proportional to 138,561 and 208,457 is: 313,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,561 : 208,457 = 208,457 : x
  2. Step 2: Convert to fraction form
    138,561/208,457 = 208,457/x
  3. Step 3: Cross multiply
    138,561x = 208,457 × 208,457
  4. Step 4: Simplify right side
    138,561x = 43,454,320,849
  5. Step 5: Solve for x
    x = 43,454,320,849/138,561
  6. Step 6: Final answer
    x = 313,611.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.