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Finding the Third Proportional to 643,322 and 946,268

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Solution

The third proportional to 643,322 and 946,268 is: 1,391,873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,322 : 946,268 = 946,268 : x
  2. Step 2: Convert to fraction form
    643,322/946,268 = 946,268/x
  3. Step 3: Cross multiply
    643,322x = 946,268 × 946,268
  4. Step 4: Simplify right side
    643,322x = 895,423,127,824
  5. Step 5: Solve for x
    x = 895,423,127,824/643,322
  6. Step 6: Final answer
    x = 1,391,873.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.