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Finding the Third Proportional to 203,487 and 322,458

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Solution

The third proportional to 203,487 and 322,458 is: 510,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,487 : 322,458 = 322,458 : x
  2. Step 2: Convert to fraction form
    203,487/322,458 = 322,458/x
  3. Step 3: Cross multiply
    203,487x = 322,458 × 322,458
  4. Step 4: Simplify right side
    203,487x = 103,979,161,764
  5. Step 5: Solve for x
    x = 103,979,161,764/203,487
  6. Step 6: Final answer
    x = 510,986.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.