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Finding the Third Proportional to 276,550 and 439,735

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Solution

The third proportional to 276,550 and 439,735 is: 699,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,550 : 439,735 = 439,735 : x
  2. Step 2: Convert to fraction form
    276,550/439,735 = 439,735/x
  3. Step 3: Cross multiply
    276,550x = 439,735 × 439,735
  4. Step 4: Simplify right side
    276,550x = 193,366,870,225
  5. Step 5: Solve for x
    x = 193,366,870,225/276,550
  6. Step 6: Final answer
    x = 699,211.25

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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.