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Finding the Third Proportional to 213,702 and 338,392

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Solution

The third proportional to 213,702 and 338,392 is: 535,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,702 : 338,392 = 338,392 : x
  2. Step 2: Convert to fraction form
    213,702/338,392 = 338,392/x
  3. Step 3: Cross multiply
    213,702x = 338,392 × 338,392
  4. Step 4: Simplify right side
    213,702x = 114,509,145,664
  5. Step 5: Solve for x
    x = 114,509,145,664/213,702
  6. Step 6: Final answer
    x = 535,835.63

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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.