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Finding the Third Proportional to 269,284.50 and 398,727

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Solution

The third proportional to 269,284.50 and 398,727 is: 590,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,284.50 : 398,727 = 398,727 : x
  2. Step 2: Convert to fraction form
    269,284.50/398,727 = 398,727/x
  3. Step 3: Cross multiply
    269,284.50x = 398,727 × 398,727
  4. Step 4: Simplify right side
    269,284.50x = 158,983,220,529
  5. Step 5: Solve for x
    x = 158,983,220,529/269,284.50
  6. Step 6: Final answer
    x = 590,391.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.