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Finding the Third Proportional to 406,808 and 629,895

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Solution

The third proportional to 406,808 and 629,895 is: 975,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,808 : 629,895 = 629,895 : x
  2. Step 2: Convert to fraction form
    406,808/629,895 = 629,895/x
  3. Step 3: Cross multiply
    406,808x = 629,895 × 629,895
  4. Step 4: Simplify right side
    406,808x = 396,767,711,025
  5. Step 5: Solve for x
    x = 396,767,711,025/406,808
  6. Step 6: Final answer
    x = 975,319.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.