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Finding the Third Proportional to 215,860 and 337,916

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Solution

The third proportional to 215,860 and 337,916 is: 528,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,860 : 337,916 = 337,916 : x
  2. Step 2: Convert to fraction form
    215,860/337,916 = 337,916/x
  3. Step 3: Cross multiply
    215,860x = 337,916 × 337,916
  4. Step 4: Simplify right side
    215,860x = 114,187,223,056
  5. Step 5: Solve for x
    x = 114,187,223,056/215,860
  6. Step 6: Final answer
    x = 528,987.41

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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.