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Finding the Third Proportional to 643,374 and 946,329

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Solution

The third proportional to 643,374 and 946,329 is: 1,391,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,374 : 946,329 = 946,329 : x
  2. Step 2: Convert to fraction form
    643,374/946,329 = 946,329/x
  3. Step 3: Cross multiply
    643,374x = 946,329 × 946,329
  4. Step 4: Simplify right side
    643,374x = 895,538,576,241
  5. Step 5: Solve for x
    x = 895,538,576,241/643,374
  6. Step 6: Final answer
    x = 1,391,940.89

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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.