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Finding the Third Proportional to 120,828 and 262,416

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Solution

The third proportional to 120,828 and 262,416 is: 569,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,828 : 262,416 = 262,416 : x
  2. Step 2: Convert to fraction form
    120,828/262,416 = 262,416/x
  3. Step 3: Cross multiply
    120,828x = 262,416 × 262,416
  4. Step 4: Simplify right side
    120,828x = 68,862,157,056
  5. Step 5: Solve for x
    x = 68,862,157,056/120,828
  6. Step 6: Final answer
    x = 569,918.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.