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Finding the Third Proportional to 420,455 and 919,156

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Solution

The third proportional to 420,455 and 919,156 is: 2,009,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,455 : 919,156 = 919,156 : x
  2. Step 2: Convert to fraction form
    420,455/919,156 = 919,156/x
  3. Step 3: Cross multiply
    420,455x = 919,156 × 919,156
  4. Step 4: Simplify right side
    420,455x = 844,847,752,336
  5. Step 5: Solve for x
    x = 844,847,752,336/420,455
  6. Step 6: Final answer
    x = 2,009,365.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.