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Finding the Third Proportional to 135,471 and 210,963

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Solution

The third proportional to 135,471 and 210,963 is: 328,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,471 : 210,963 = 210,963 : x
  2. Step 2: Convert to fraction form
    135,471/210,963 = 210,963/x
  3. Step 3: Cross multiply
    135,471x = 210,963 × 210,963
  4. Step 4: Simplify right side
    135,471x = 44,505,387,369
  5. Step 5: Solve for x
    x = 44,505,387,369/135,471
  6. Step 6: Final answer
    x = 328,523.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.