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Finding the Third Proportional to 134,626 and 208,431

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Solution

The third proportional to 134,626 and 208,431 is: 322,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,626 : 208,431 = 208,431 : x
  2. Step 2: Convert to fraction form
    134,626/208,431 = 208,431/x
  3. Step 3: Cross multiply
    134,626x = 208,431 × 208,431
  4. Step 4: Simplify right side
    134,626x = 43,443,481,761
  5. Step 5: Solve for x
    x = 43,443,481,761/134,626
  6. Step 6: Final answer
    x = 322,697.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.