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Finding the Third Proportional to 418,542 and 908,435

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Solution

The third proportional to 418,542 and 908,435 is: 1,971,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,542 : 908,435 = 908,435 : x
  2. Step 2: Convert to fraction form
    418,542/908,435 = 908,435/x
  3. Step 3: Cross multiply
    418,542x = 908,435 × 908,435
  4. Step 4: Simplify right side
    418,542x = 825,254,149,225
  5. Step 5: Solve for x
    x = 825,254,149,225/418,542
  6. Step 6: Final answer
    x = 1,971,735.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.