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Finding the Third Proportional to 145,183.50 and 313,330.50

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Solution

The third proportional to 145,183.50 and 313,330.50 is: 676,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,183.50 : 313,330.50 = 313,330.50 : x
  2. Step 2: Convert to fraction form
    145,183.50/313,330.50 = 313,330.50/x
  3. Step 3: Cross multiply
    145,183.50x = 313,330.50 × 313,330.50
  4. Step 4: Simplify right side
    145,183.50x = 98,176,002,230.25
  5. Step 5: Solve for x
    x = 98,176,002,230.25/145,183.50
  6. Step 6: Final answer
    x = 676,220.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.