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Finding the Third Proportional to 220,336 and 452,288

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Solution

The third proportional to 220,336 and 452,288 is: 928,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,336 : 452,288 = 452,288 : x
  2. Step 2: Convert to fraction form
    220,336/452,288 = 452,288/x
  3. Step 3: Cross multiply
    220,336x = 452,288 × 452,288
  4. Step 4: Simplify right side
    220,336x = 204,564,434,944
  5. Step 5: Solve for x
    x = 204,564,434,944/220,336
  6. Step 6: Final answer
    x = 928,420.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.