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Finding the Third Proportional to 140,829.75 and 313,148.25

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Solution

The third proportional to 140,829.75 and 313,148.25 is: 696,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,829.75 : 313,148.25 = 313,148.25 : x
  2. Step 2: Convert to fraction form
    140,829.75/313,148.25 = 313,148.25/x
  3. Step 3: Cross multiply
    140,829.75x = 313,148.25 × 313,148.25
  4. Step 4: Simplify right side
    140,829.75x = 98,061,826,478.06
  5. Step 5: Solve for x
    x = 98,061,826,478.06/140,829.75
  6. Step 6: Final answer
    x = 696,314.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.