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Finding the Third Proportional to 306,188 and 672,156

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Solution

The third proportional to 306,188 and 672,156 is: 1,475,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,188 : 672,156 = 672,156 : x
  2. Step 2: Convert to fraction form
    306,188/672,156 = 672,156/x
  3. Step 3: Cross multiply
    306,188x = 672,156 × 672,156
  4. Step 4: Simplify right side
    306,188x = 451,793,688,336
  5. Step 5: Solve for x
    x = 451,793,688,336/306,188
  6. Step 6: Final answer
    x = 1,475,543.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.