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Finding the Third Proportional to 100,470.80 and 214,759.69

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Solution

The third proportional to 100,470.80 and 214,759.69 is: 459,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470.80 : 214,759.69 = 214,759.69 : x
  2. Step 2: Convert to fraction form
    100,470.80/214,759.69 = 214,759.69/x
  3. Step 3: Cross multiply
    100,470.80x = 214,759.69 × 214,759.69
  4. Step 4: Simplify right side
    100,470.80x = 46,121,723,375.10
  5. Step 5: Solve for x
    x = 46,121,723,375.10/100,470.80
  6. Step 6: Final answer
    x = 459,056.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.