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Finding the Third Proportional to 206,502 and 313,680

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Solution

The third proportional to 206,502 and 313,680 is: 476,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,502 : 313,680 = 313,680 : x
  2. Step 2: Convert to fraction form
    206,502/313,680 = 313,680/x
  3. Step 3: Cross multiply
    206,502x = 313,680 × 313,680
  4. Step 4: Simplify right side
    206,502x = 98,395,142,400
  5. Step 5: Solve for x
    x = 98,395,142,400/206,502
  6. Step 6: Final answer
    x = 476,485.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.