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Finding the Third Proportional to 206,426 and 314,975

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Solution

The third proportional to 206,426 and 314,975 is: 480,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,426 : 314,975 = 314,975 : x
  2. Step 2: Convert to fraction form
    206,426/314,975 = 314,975/x
  3. Step 3: Cross multiply
    206,426x = 314,975 × 314,975
  4. Step 4: Simplify right side
    206,426x = 99,209,250,625
  5. Step 5: Solve for x
    x = 99,209,250,625/206,426
  6. Step 6: Final answer
    x = 480,604.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.