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Finding the Third Proportional to 401,013 and 564,218

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Solution

The third proportional to 401,013 and 564,218 is: 793,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,013 : 564,218 = 564,218 : x
  2. Step 2: Convert to fraction form
    401,013/564,218 = 564,218/x
  3. Step 3: Cross multiply
    401,013x = 564,218 × 564,218
  4. Step 4: Simplify right side
    401,013x = 318,341,951,524
  5. Step 5: Solve for x
    x = 318,341,951,524/401,013
  6. Step 6: Final answer
    x = 793,844.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.