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Finding the Third Proportional to 103,356 and 213,354

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Solution

The third proportional to 103,356 and 213,354 is: 440,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,356 : 213,354 = 213,354 : x
  2. Step 2: Convert to fraction form
    103,356/213,354 = 213,354/x
  3. Step 3: Cross multiply
    103,356x = 213,354 × 213,354
  4. Step 4: Simplify right side
    103,356x = 45,519,929,316
  5. Step 5: Solve for x
    x = 45,519,929,316/103,356
  6. Step 6: Final answer
    x = 440,418.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.