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Finding the Third Proportional to 308,451.50 and 420,212.75

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Solution

The third proportional to 308,451.50 and 420,212.75 is: 572,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,451.50 : 420,212.75 = 420,212.75 : x
  2. Step 2: Convert to fraction form
    308,451.50/420,212.75 = 420,212.75/x
  3. Step 3: Cross multiply
    308,451.50x = 420,212.75 × 420,212.75
  4. Step 4: Simplify right side
    308,451.50x = 176,578,755,262.56
  5. Step 5: Solve for x
    x = 176,578,755,262.56/308,451.50
  6. Step 6: Final answer
    x = 572,468.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.