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Finding the Third Proportional to 205,532 and 307,458

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Solution

The third proportional to 205,532 and 307,458 is: 459,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,532 : 307,458 = 307,458 : x
  2. Step 2: Convert to fraction form
    205,532/307,458 = 307,458/x
  3. Step 3: Cross multiply
    205,532x = 307,458 × 307,458
  4. Step 4: Simplify right side
    205,532x = 94,530,421,764
  5. Step 5: Solve for x
    x = 94,530,421,764/205,532
  6. Step 6: Final answer
    x = 459,930.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.