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Finding the Third Proportional to 427,611 and 903,498

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Solution

The third proportional to 427,611 and 903,498 is: 1,908,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,611 : 903,498 = 903,498 : x
  2. Step 2: Convert to fraction form
    427,611/903,498 = 903,498/x
  3. Step 3: Cross multiply
    427,611x = 903,498 × 903,498
  4. Step 4: Simplify right side
    427,611x = 816,308,636,004
  5. Step 5: Solve for x
    x = 816,308,636,004/427,611
  6. Step 6: Final answer
    x = 1,908,998.22

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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.