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Finding the Third Proportional to 138,249 and 208,641

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Solution

The third proportional to 138,249 and 208,641 is: 314,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,249 : 208,641 = 208,641 : x
  2. Step 2: Convert to fraction form
    138,249/208,641 = 208,641/x
  3. Step 3: Cross multiply
    138,249x = 208,641 × 208,641
  4. Step 4: Simplify right side
    138,249x = 43,531,066,881
  5. Step 5: Solve for x
    x = 43,531,066,881/138,249
  6. Step 6: Final answer
    x = 314,874.37

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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.