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Finding the Third Proportional to 419,490 and 908,964

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Solution

The third proportional to 419,490 and 908,964 is: 1,969,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,490 : 908,964 = 908,964 : x
  2. Step 2: Convert to fraction form
    419,490/908,964 = 908,964/x
  3. Step 3: Cross multiply
    419,490x = 908,964 × 908,964
  4. Step 4: Simplify right side
    419,490x = 826,215,553,296
  5. Step 5: Solve for x
    x = 826,215,553,296/419,490
  6. Step 6: Final answer
    x = 1,969,571.51

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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.