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Finding the Third Proportional to 414,725 and 909,802

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Solution

The third proportional to 414,725 and 909,802 is: 1,995,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,725 : 909,802 = 909,802 : x
  2. Step 2: Convert to fraction form
    414,725/909,802 = 909,802/x
  3. Step 3: Cross multiply
    414,725x = 909,802 × 909,802
  4. Step 4: Simplify right side
    414,725x = 827,739,679,204
  5. Step 5: Solve for x
    x = 827,739,679,204/414,725
  6. Step 6: Final answer
    x = 1,995,876.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.