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Finding the Third Proportional to 272,391 and 422,754

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Solution

The third proportional to 272,391 and 422,754 is: 656,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,391 : 422,754 = 422,754 : x
  2. Step 2: Convert to fraction form
    272,391/422,754 = 422,754/x
  3. Step 3: Cross multiply
    272,391x = 422,754 × 422,754
  4. Step 4: Simplify right side
    272,391x = 178,720,944,516
  5. Step 5: Solve for x
    x = 178,720,944,516/272,391
  6. Step 6: Final answer
    x = 656,119.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.