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Finding the Third Proportional to 128,809.13 and 280,500.75

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Solution

The third proportional to 128,809.13 and 280,500.75 is: 610,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,809.13 : 280,500.75 = 280,500.75 : x
  2. Step 2: Convert to fraction form
    128,809.13/280,500.75 = 280,500.75/x
  3. Step 3: Cross multiply
    128,809.13x = 280,500.75 × 280,500.75
  4. Step 4: Simplify right side
    128,809.13x = 78,680,670,750.56
  5. Step 5: Solve for x
    x = 78,680,670,750.56/128,809.13
  6. Step 6: Final answer
    x = 610,831.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.