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Finding the Third Proportional to 427,519 and 903,314

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Solution

The third proportional to 427,519 and 903,314 is: 1,908,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,519 : 903,314 = 903,314 : x
  2. Step 2: Convert to fraction form
    427,519/903,314 = 903,314/x
  3. Step 3: Cross multiply
    427,519x = 903,314 × 903,314
  4. Step 4: Simplify right side
    427,519x = 815,976,182,596
  5. Step 5: Solve for x
    x = 815,976,182,596/427,519
  6. Step 6: Final answer
    x = 1,908,631.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.