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Finding the Third Proportional to 427,990 and 903,727

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Solution

The third proportional to 427,990 and 903,727 is: 1,908,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,990 : 903,727 = 903,727 : x
  2. Step 2: Convert to fraction form
    427,990/903,727 = 903,727/x
  3. Step 3: Cross multiply
    427,990x = 903,727 × 903,727
  4. Step 4: Simplify right side
    427,990x = 816,722,490,529
  5. Step 5: Solve for x
    x = 816,722,490,529/427,990
  6. Step 6: Final answer
    x = 1,908,274.70

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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.