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Finding the Third Proportional to 418,713 and 908,355

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Solution

The third proportional to 418,713 and 908,355 is: 1,970,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,713 : 908,355 = 908,355 : x
  2. Step 2: Convert to fraction form
    418,713/908,355 = 908,355/x
  3. Step 3: Cross multiply
    418,713x = 908,355 × 908,355
  4. Step 4: Simplify right side
    418,713x = 825,108,806,025
  5. Step 5: Solve for x
    x = 825,108,806,025/418,713
  6. Step 6: Final answer
    x = 1,970,583.21

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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.