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Finding the Third Proportional to 274,122 and 423,634

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Solution

The third proportional to 274,122 and 423,634 is: 654,693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,122 : 423,634 = 423,634 : x
  2. Step 2: Convert to fraction form
    274,122/423,634 = 423,634/x
  3. Step 3: Cross multiply
    274,122x = 423,634 × 423,634
  4. Step 4: Simplify right side
    274,122x = 179,465,765,956
  5. Step 5: Solve for x
    x = 179,465,765,956/274,122
  6. Step 6: Final answer
    x = 654,693.04

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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.