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Finding the Third Proportional to 401,897 and 545,814

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Solution

The third proportional to 401,897 and 545,814 is: 741,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,897 : 545,814 = 545,814 : x
  2. Step 2: Convert to fraction form
    401,897/545,814 = 545,814/x
  3. Step 3: Cross multiply
    401,897x = 545,814 × 545,814
  4. Step 4: Simplify right side
    401,897x = 297,912,922,596
  5. Step 5: Solve for x
    x = 297,912,922,596/401,897
  6. Step 6: Final answer
    x = 741,266.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.