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Finding the Third Proportional to 645,802 and 886,514

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Solution

The third proportional to 645,802 and 886,514 is: 1,216,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,802 : 886,514 = 886,514 : x
  2. Step 2: Convert to fraction form
    645,802/886,514 = 886,514/x
  3. Step 3: Cross multiply
    645,802x = 886,514 × 886,514
  4. Step 4: Simplify right side
    645,802x = 785,907,072,196
  5. Step 5: Solve for x
    x = 785,907,072,196/645,802
  6. Step 6: Final answer
    x = 1,216,947.41

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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.