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Finding the Third Proportional to 214,938 and 338,895

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Solution

The third proportional to 214,938 and 338,895 is: 534,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,938 : 338,895 = 338,895 : x
  2. Step 2: Convert to fraction form
    214,938/338,895 = 338,895/x
  3. Step 3: Cross multiply
    214,938x = 338,895 × 338,895
  4. Step 4: Simplify right side
    214,938x = 114,849,821,025
  5. Step 5: Solve for x
    x = 114,849,821,025/214,938
  6. Step 6: Final answer
    x = 534,339.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.