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Finding the Third Proportional to 279,743 and 421,935.50

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Solution

The third proportional to 279,743 and 421,935.50 is: 636,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,743 : 421,935.50 = 421,935.50 : x
  2. Step 2: Convert to fraction form
    279,743/421,935.50 = 421,935.50/x
  3. Step 3: Cross multiply
    279,743x = 421,935.50 × 421,935.50
  4. Step 4: Simplify right side
    279,743x = 178,029,566,160.25
  5. Step 5: Solve for x
    x = 178,029,566,160.25/279,743
  6. Step 6: Final answer
    x = 636,404.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.