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Finding the Third Proportional to 215,856 and 337,910

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Solution

The third proportional to 215,856 and 337,910 is: 528,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,856 : 337,910 = 337,910 : x
  2. Step 2: Convert to fraction form
    215,856/337,910 = 337,910/x
  3. Step 3: Cross multiply
    215,856x = 337,910 × 337,910
  4. Step 4: Simplify right side
    215,856x = 114,183,168,100
  5. Step 5: Solve for x
    x = 114,183,168,100/215,856
  6. Step 6: Final answer
    x = 528,978.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.