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Finding the Third Proportional to 643,444 and 946,434

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Solution

The third proportional to 643,444 and 946,434 is: 1,392,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,444 : 946,434 = 946,434 : x
  2. Step 2: Convert to fraction form
    643,444/946,434 = 946,434/x
  3. Step 3: Cross multiply
    643,444x = 946,434 × 946,434
  4. Step 4: Simplify right side
    643,444x = 895,737,316,356
  5. Step 5: Solve for x
    x = 895,737,316,356/643,444
  6. Step 6: Final answer
    x = 1,392,098.33

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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.