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Finding the Third Proportional to 213,767 and 338,477

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Solution

The third proportional to 213,767 and 338,477 is: 535,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,767 : 338,477 = 338,477 : x
  2. Step 2: Convert to fraction form
    213,767/338,477 = 338,477/x
  3. Step 3: Cross multiply
    213,767x = 338,477 × 338,477
  4. Step 4: Simplify right side
    213,767x = 114,566,679,529
  5. Step 5: Solve for x
    x = 114,566,679,529/213,767
  6. Step 6: Final answer
    x = 535,941.84

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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.