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Finding the Third Proportional to 643,338 and 946,287

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Solution

The third proportional to 643,338 and 946,287 is: 1,391,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,338 : 946,287 = 946,287 : x
  2. Step 2: Convert to fraction form
    643,338/946,287 = 946,287/x
  3. Step 3: Cross multiply
    643,338x = 946,287 × 946,287
  4. Step 4: Simplify right side
    643,338x = 895,459,086,369
  5. Step 5: Solve for x
    x = 895,459,086,369/643,338
  6. Step 6: Final answer
    x = 1,391,895.22

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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.