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Finding the Third Proportional to 643,324 and 946,271

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Solution

The third proportional to 643,324 and 946,271 is: 1,391,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,324 : 946,271 = 946,271 : x
  2. Step 2: Convert to fraction form
    643,324/946,271 = 946,271/x
  3. Step 3: Cross multiply
    643,324x = 946,271 × 946,271
  4. Step 4: Simplify right side
    643,324x = 895,428,805,441
  5. Step 5: Solve for x
    x = 895,428,805,441/643,324
  6. Step 6: Final answer
    x = 1,391,878.44

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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.