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Finding the Third Proportional to 205,514 and 307,434

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Solution

The third proportional to 205,514 and 307,434 is: 459,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,514 : 307,434 = 307,434 : x
  2. Step 2: Convert to fraction form
    205,514/307,434 = 307,434/x
  3. Step 3: Cross multiply
    205,514x = 307,434 × 307,434
  4. Step 4: Simplify right side
    205,514x = 94,515,664,356
  5. Step 5: Solve for x
    x = 94,515,664,356/205,514
  6. Step 6: Final answer
    x = 459,898.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.