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Finding the Third Proportional to 276,009.75 and 416,638.50

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Solution

The third proportional to 276,009.75 and 416,638.50 is: 628,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,009.75 : 416,638.50 = 416,638.50 : x
  2. Step 2: Convert to fraction form
    276,009.75/416,638.50 = 416,638.50/x
  3. Step 3: Cross multiply
    276,009.75x = 416,638.50 × 416,638.50
  4. Step 4: Simplify right side
    276,009.75x = 173,587,639,682.25
  5. Step 5: Solve for x
    x = 173,587,639,682.25/276,009.75
  6. Step 6: Final answer
    x = 628,918.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.