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Finding the Third Proportional to 266,030 and 401,799

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Solution

The third proportional to 266,030 and 401,799 is: 606,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,030 : 401,799 = 401,799 : x
  2. Step 2: Convert to fraction form
    266,030/401,799 = 401,799/x
  3. Step 3: Cross multiply
    266,030x = 401,799 × 401,799
  4. Step 4: Simplify right side
    266,030x = 161,442,436,401
  5. Step 5: Solve for x
    x = 161,442,436,401/266,030
  6. Step 6: Final answer
    x = 606,858.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.