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Finding the Third Proportional to 392,217 and 552,315.75

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Solution

The third proportional to 392,217 and 552,315.75 is: 777,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,217 : 552,315.75 = 552,315.75 : x
  2. Step 2: Convert to fraction form
    392,217/552,315.75 = 552,315.75/x
  3. Step 3: Cross multiply
    392,217x = 552,315.75 × 552,315.75
  4. Step 4: Simplify right side
    392,217x = 305,052,687,698.06
  5. Step 5: Solve for x
    x = 305,052,687,698.06/392,217
  6. Step 6: Final answer
    x = 777,765.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.