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Finding the Third Proportional to 205,514 and 307,435

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Solution

The third proportional to 205,514 and 307,435 is: 459,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,514 : 307,435 = 307,435 : x
  2. Step 2: Convert to fraction form
    205,514/307,435 = 307,435/x
  3. Step 3: Cross multiply
    205,514x = 307,435 × 307,435
  4. Step 4: Simplify right side
    205,514x = 94,516,279,225
  5. Step 5: Solve for x
    x = 94,516,279,225/205,514
  6. Step 6: Final answer
    x = 459,901.90

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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.