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Finding the Third Proportional to 645,800 and 886,511

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Solution

The third proportional to 645,800 and 886,511 is: 1,216,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,800 : 886,511 = 886,511 : x
  2. Step 2: Convert to fraction form
    645,800/886,511 = 886,511/x
  3. Step 3: Cross multiply
    645,800x = 886,511 × 886,511
  4. Step 4: Simplify right side
    645,800x = 785,901,753,121
  5. Step 5: Solve for x
    x = 785,901,753,121/645,800
  6. Step 6: Final answer
    x = 1,216,942.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.