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Finding the Third Proportional to 420,066 and 637,866

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Solution

The third proportional to 420,066 and 637,866 is: 968,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,066 : 637,866 = 637,866 : x
  2. Step 2: Convert to fraction form
    420,066/637,866 = 637,866/x
  3. Step 3: Cross multiply
    420,066x = 637,866 × 637,866
  4. Step 4: Simplify right side
    420,066x = 406,873,033,956
  5. Step 5: Solve for x
    x = 406,873,033,956/420,066
  6. Step 6: Final answer
    x = 968,593.11

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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.