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Finding the Third Proportional to 140,406.75 and 305,781.75

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Solution

The third proportional to 140,406.75 and 305,781.75 is: 665,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,406.75 : 305,781.75 = 305,781.75 : x
  2. Step 2: Convert to fraction form
    140,406.75/305,781.75 = 305,781.75/x
  3. Step 3: Cross multiply
    140,406.75x = 305,781.75 × 305,781.75
  4. Step 4: Simplify right side
    140,406.75x = 93,502,478,633.06
  5. Step 5: Solve for x
    x = 93,502,478,633.06/140,406.75
  6. Step 6: Final answer
    x = 665,940.05

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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.