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Finding the Third Proportional to 309,912.75 and 478,882.13

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Solution

The third proportional to 309,912.75 and 478,882.13 is: 739,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,912.75 : 478,882.13 = 478,882.13 : x
  2. Step 2: Convert to fraction form
    309,912.75/478,882.13 = 478,882.13/x
  3. Step 3: Cross multiply
    309,912.75x = 478,882.13 × 478,882.13
  4. Step 4: Simplify right side
    309,912.75x = 229,328,089,644.52
  5. Step 5: Solve for x
    x = 229,328,089,644.52/309,912.75
  6. Step 6: Final answer
    x = 739,976.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.