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Finding the Third Proportional to 274,853.25 and 420,453

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Solution

The third proportional to 274,853.25 and 420,453 is: 643,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,853.25 : 420,453 = 420,453 : x
  2. Step 2: Convert to fraction form
    274,853.25/420,453 = 420,453/x
  3. Step 3: Cross multiply
    274,853.25x = 420,453 × 420,453
  4. Step 4: Simplify right side
    274,853.25x = 176,780,725,209
  5. Step 5: Solve for x
    x = 176,780,725,209/274,853.25
  6. Step 6: Final answer
    x = 643,182.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.