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Finding the Third Proportional to 422,345 and 910,705

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Solution

The third proportional to 422,345 and 910,705 is: 1,963,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,345 : 910,705 = 910,705 : x
  2. Step 2: Convert to fraction form
    422,345/910,705 = 910,705/x
  3. Step 3: Cross multiply
    422,345x = 910,705 × 910,705
  4. Step 4: Simplify right side
    422,345x = 829,383,597,025
  5. Step 5: Solve for x
    x = 829,383,597,025/422,345
  6. Step 6: Final answer
    x = 1,963,758.53

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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.