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Finding the Third Proportional to 271,784 and 411,780

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Solution

The third proportional to 271,784 and 411,780 is: 623,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,784 : 411,780 = 411,780 : x
  2. Step 2: Convert to fraction form
    271,784/411,780 = 411,780/x
  3. Step 3: Cross multiply
    271,784x = 411,780 × 411,780
  4. Step 4: Simplify right side
    271,784x = 169,562,768,400
  5. Step 5: Solve for x
    x = 169,562,768,400/271,784
  6. Step 6: Final answer
    x = 623,887.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.