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Finding the Third Proportional to 417,339 and 629,905.50

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Solution

The third proportional to 417,339 and 629,905.50 is: 950,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,339 : 629,905.50 = 629,905.50 : x
  2. Step 2: Convert to fraction form
    417,339/629,905.50 = 629,905.50/x
  3. Step 3: Cross multiply
    417,339x = 629,905.50 × 629,905.50
  4. Step 4: Simplify right side
    417,339x = 396,780,938,930.25
  5. Step 5: Solve for x
    x = 396,780,938,930.25/417,339
  6. Step 6: Final answer
    x = 950,740.14

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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.