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Finding the Third Proportional to 206,490 and 315,659

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Solution

The third proportional to 206,490 and 315,659 is: 482,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,490 : 315,659 = 315,659 : x
  2. Step 2: Convert to fraction form
    206,490/315,659 = 315,659/x
  3. Step 3: Cross multiply
    206,490x = 315,659 × 315,659
  4. Step 4: Simplify right side
    206,490x = 99,640,604,281
  5. Step 5: Solve for x
    x = 99,640,604,281/206,490
  6. Step 6: Final answer
    x = 482,544.45

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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.