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Finding the Third Proportional to 312,250.50 and 649,044.75

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Solution

The third proportional to 312,250.50 and 649,044.75 is: 1,349,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,250.50 : 649,044.75 = 649,044.75 : x
  2. Step 2: Convert to fraction form
    312,250.50/649,044.75 = 649,044.75/x
  3. Step 3: Cross multiply
    312,250.50x = 649,044.75 × 649,044.75
  4. Step 4: Simplify right side
    312,250.50x = 421,259,087,502.56
  5. Step 5: Solve for x
    x = 421,259,087,502.56/312,250.50
  6. Step 6: Final answer
    x = 1,349,106.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.