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Finding the Third Proportional to 643,016 and 946,760

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Solution

The third proportional to 643,016 and 946,760 is: 1,393,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,016 : 946,760 = 946,760 : x
  2. Step 2: Convert to fraction form
    643,016/946,760 = 946,760/x
  3. Step 3: Cross multiply
    643,016x = 946,760 × 946,760
  4. Step 4: Simplify right side
    643,016x = 896,354,497,600
  5. Step 5: Solve for x
    x = 896,354,497,600/643,016
  6. Step 6: Final answer
    x = 1,393,984.75

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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.