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Finding the Third Proportional to 274,124 and 423,637

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Solution

The third proportional to 274,124 and 423,637 is: 654,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,124 : 423,637 = 423,637 : x
  2. Step 2: Convert to fraction form
    274,124/423,637 = 423,637/x
  3. Step 3: Cross multiply
    274,124x = 423,637 × 423,637
  4. Step 4: Simplify right side
    274,124x = 179,468,307,769
  5. Step 5: Solve for x
    x = 179,468,307,769/274,124
  6. Step 6: Final answer
    x = 654,697.54

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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.