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Finding the Third Proportional to 214,990 and 338,982

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Solution

The third proportional to 214,990 and 338,982 is: 534,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,990 : 338,982 = 338,982 : x
  2. Step 2: Convert to fraction form
    214,990/338,982 = 338,982/x
  3. Step 3: Cross multiply
    214,990x = 338,982 × 338,982
  4. Step 4: Simplify right side
    214,990x = 114,908,796,324
  5. Step 5: Solve for x
    x = 114,908,796,324/214,990
  6. Step 6: Final answer
    x = 534,484.38

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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.