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Finding the Third Proportional to 418,682 and 907,564

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Solution

The third proportional to 418,682 and 907,564 is: 1,967,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,682 : 907,564 = 907,564 : x
  2. Step 2: Convert to fraction form
    418,682/907,564 = 907,564/x
  3. Step 3: Cross multiply
    418,682x = 907,564 × 907,564
  4. Step 4: Simplify right side
    418,682x = 823,672,414,096
  5. Step 5: Solve for x
    x = 823,672,414,096/418,682
  6. Step 6: Final answer
    x = 1,967,298.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.