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Finding the Third Proportional to 420,512 and 946,298

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Solution

The third proportional to 420,512 and 946,298 is: 2,129,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,512 : 946,298 = 946,298 : x
  2. Step 2: Convert to fraction form
    420,512/946,298 = 946,298/x
  3. Step 3: Cross multiply
    420,512x = 946,298 × 946,298
  4. Step 4: Simplify right side
    420,512x = 895,479,904,804
  5. Step 5: Solve for x
    x = 895,479,904,804/420,512
  6. Step 6: Final answer
    x = 2,129,499.05

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.