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Finding the Third Proportional to 268,866 and 401,859

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Solution

The third proportional to 268,866 and 401,859 is: 600,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,866 : 401,859 = 401,859 : x
  2. Step 2: Convert to fraction form
    268,866/401,859 = 401,859/x
  3. Step 3: Cross multiply
    268,866x = 401,859 × 401,859
  4. Step 4: Simplify right side
    268,866x = 161,490,655,881
  5. Step 5: Solve for x
    x = 161,490,655,881/268,866
  6. Step 6: Final answer
    x = 600,636.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.