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Finding the Third Proportional to 643,384 and 946,344

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Solution

The third proportional to 643,384 and 946,344 is: 1,391,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,384 : 946,344 = 946,344 : x
  2. Step 2: Convert to fraction form
    643,384/946,344 = 946,344/x
  3. Step 3: Cross multiply
    643,384x = 946,344 × 946,344
  4. Step 4: Simplify right side
    643,384x = 895,566,966,336
  5. Step 5: Solve for x
    x = 895,566,966,336/643,384
  6. Step 6: Final answer
    x = 1,391,963.38

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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.