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Finding the Third Proportional to 422,340.50 and 910,696

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Solution

The third proportional to 422,340.50 and 910,696 is: 1,963,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,340.50 : 910,696 = 910,696 : x
  2. Step 2: Convert to fraction form
    422,340.50/910,696 = 910,696/x
  3. Step 3: Cross multiply
    422,340.50x = 910,696 × 910,696
  4. Step 4: Simplify right side
    422,340.50x = 829,367,204,416
  5. Step 5: Solve for x
    x = 829,367,204,416/422,340.50
  6. Step 6: Final answer
    x = 1,963,740.64

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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.