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Finding the Third Proportional to 206,453 and 290,721

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Solution

The third proportional to 206,453 and 290,721 is: 409,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,453 : 290,721 = 290,721 : x
  2. Step 2: Convert to fraction form
    206,453/290,721 = 290,721/x
  3. Step 3: Cross multiply
    206,453x = 290,721 × 290,721
  4. Step 4: Simplify right side
    206,453x = 84,518,699,841
  5. Step 5: Solve for x
    x = 84,518,699,841/206,453
  6. Step 6: Final answer
    x = 409,384.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.