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Finding the Third Proportional to 422,316 and 911,025

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Solution

The third proportional to 422,316 and 911,025 is: 1,965,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,316 : 911,025 = 911,025 : x
  2. Step 2: Convert to fraction form
    422,316/911,025 = 911,025/x
  3. Step 3: Cross multiply
    422,316x = 911,025 × 911,025
  4. Step 4: Simplify right side
    422,316x = 829,966,550,625
  5. Step 5: Solve for x
    x = 829,966,550,625/422,316
  6. Step 6: Final answer
    x = 1,965,273.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.