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Finding the Third Proportional to 138,297.38 and 208,717.88

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Solution

The third proportional to 138,297.38 and 208,717.88 is: 314,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,297.38 : 208,717.88 = 208,717.88 : x
  2. Step 2: Convert to fraction form
    138,297.38/208,717.88 = 208,717.88/x
  3. Step 3: Cross multiply
    138,297.38x = 208,717.88 × 208,717.88
  4. Step 4: Simplify right side
    138,297.38x = 43,563,151,344.52
  5. Step 5: Solve for x
    x = 43,563,151,344.52/138,297.38
  6. Step 6: Final answer
    x = 314,996.23

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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.