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Finding the Third Proportional to 266,012 and 401,778

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Solution

The third proportional to 266,012 and 401,778 is: 606,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,012 : 401,778 = 401,778 : x
  2. Step 2: Convert to fraction form
    266,012/401,778 = 401,778/x
  3. Step 3: Cross multiply
    266,012x = 401,778 × 401,778
  4. Step 4: Simplify right side
    266,012x = 161,425,561,284
  5. Step 5: Solve for x
    x = 161,425,561,284/266,012
  6. Step 6: Final answer
    x = 606,835.64

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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.