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Finding the Third Proportional to 276,315 and 439,382.25

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Solution

The third proportional to 276,315 and 439,382.25 is: 698,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,315 : 439,382.25 = 439,382.25 : x
  2. Step 2: Convert to fraction form
    276,315/439,382.25 = 439,382.25/x
  3. Step 3: Cross multiply
    276,315x = 439,382.25 × 439,382.25
  4. Step 4: Simplify right side
    276,315x = 193,056,761,615.06
  5. Step 5: Solve for x
    x = 193,056,761,615.06/276,315
  6. Step 6: Final answer
    x = 698,683.61

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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.