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Finding the Third Proportional to 645,786 and 886,491

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Solution

The third proportional to 645,786 and 886,491 is: 1,216,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,786 : 886,491 = 886,491 : x
  2. Step 2: Convert to fraction form
    645,786/886,491 = 886,491/x
  3. Step 3: Cross multiply
    645,786x = 886,491 × 886,491
  4. Step 4: Simplify right side
    645,786x = 785,866,293,081
  5. Step 5: Solve for x
    x = 785,866,293,081/645,786
  6. Step 6: Final answer
    x = 1,216,914.42

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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.