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Finding the Third Proportional to 426,498 and 905,476

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Solution

The third proportional to 426,498 and 905,476 is: 1,922,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,498 : 905,476 = 905,476 : x
  2. Step 2: Convert to fraction form
    426,498/905,476 = 905,476/x
  3. Step 3: Cross multiply
    426,498x = 905,476 × 905,476
  4. Step 4: Simplify right side
    426,498x = 819,886,786,576
  5. Step 5: Solve for x
    x = 819,886,786,576/426,498
  6. Step 6: Final answer
    x = 1,922,369.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.