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Finding the Third Proportional to 401,880 and 547,293

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Solution

The third proportional to 401,880 and 547,293 is: 745,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,880 : 547,293 = 547,293 : x
  2. Step 2: Convert to fraction form
    401,880/547,293 = 547,293/x
  3. Step 3: Cross multiply
    401,880x = 547,293 × 547,293
  4. Step 4: Simplify right side
    401,880x = 299,529,627,849
  5. Step 5: Solve for x
    x = 299,529,627,849/401,880
  6. Step 6: Final answer
    x = 745,321.06

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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.