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Finding the Third Proportional to 455,025 and 979,815

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Solution

The third proportional to 455,025 and 979,815 is: 2,109,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,025 : 979,815 = 979,815 : x
  2. Step 2: Convert to fraction form
    455,025/979,815 = 979,815/x
  3. Step 3: Cross multiply
    455,025x = 979,815 × 979,815
  4. Step 4: Simplify right side
    455,025x = 960,037,434,225
  5. Step 5: Solve for x
    x = 960,037,434,225/455,025
  6. Step 6: Final answer
    x = 2,109,856.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.