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Finding the Third Proportional to 420,418 and 903,044

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Solution

The third proportional to 420,418 and 903,044 is: 1,939,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,418 : 903,044 = 903,044 : x
  2. Step 2: Convert to fraction form
    420,418/903,044 = 903,044/x
  3. Step 3: Cross multiply
    420,418x = 903,044 × 903,044
  4. Step 4: Simplify right side
    420,418x = 815,488,465,936
  5. Step 5: Solve for x
    x = 815,488,465,936/420,418
  6. Step 6: Final answer
    x = 1,939,708.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.