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Finding the Third Proportional to 401,820 and 547,204

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Solution

The third proportional to 401,820 and 547,204 is: 745,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,820 : 547,204 = 547,204 : x
  2. Step 2: Convert to fraction form
    401,820/547,204 = 547,204/x
  3. Step 3: Cross multiply
    401,820x = 547,204 × 547,204
  4. Step 4: Simplify right side
    401,820x = 299,432,217,616
  5. Step 5: Solve for x
    x = 299,432,217,616/401,820
  6. Step 6: Final answer
    x = 745,189.93

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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.