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Finding the Third Proportional to 206,220 and 313,650

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Solution

The third proportional to 206,220 and 313,650 is: 477,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,220 : 313,650 = 313,650 : x
  2. Step 2: Convert to fraction form
    206,220/313,650 = 313,650/x
  3. Step 3: Cross multiply
    206,220x = 313,650 × 313,650
  4. Step 4: Simplify right side
    206,220x = 98,376,322,500
  5. Step 5: Solve for x
    x = 98,376,322,500/206,220
  6. Step 6: Final answer
    x = 477,045.50

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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.