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Finding the Third Proportional to 274,120 and 423,631

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Solution

The third proportional to 274,120 and 423,631 is: 654,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,120 : 423,631 = 423,631 : x
  2. Step 2: Convert to fraction form
    274,120/423,631 = 423,631/x
  3. Step 3: Cross multiply
    274,120x = 423,631 × 423,631
  4. Step 4: Simplify right side
    274,120x = 179,463,224,161
  5. Step 5: Solve for x
    x = 179,463,224,161/274,120
  6. Step 6: Final answer
    x = 654,688.55

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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.