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Finding the Third Proportional to 276,331.50 and 439,414.50

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Solution

The third proportional to 276,331.50 and 439,414.50 is: 698,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,331.50 : 439,414.50 = 439,414.50 : x
  2. Step 2: Convert to fraction form
    276,331.50/439,414.50 = 439,414.50/x
  3. Step 3: Cross multiply
    276,331.50x = 439,414.50 × 439,414.50
  4. Step 4: Simplify right side
    276,331.50x = 193,085,102,810.25
  5. Step 5: Solve for x
    x = 193,085,102,810.25/276,331.50
  6. Step 6: Final answer
    x = 698,744.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.