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Finding the Third Proportional to 642,048 and 858,956

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Solution

The third proportional to 642,048 and 858,956 is: 1,149,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,048 : 858,956 = 858,956 : x
  2. Step 2: Convert to fraction form
    642,048/858,956 = 858,956/x
  3. Step 3: Cross multiply
    642,048x = 858,956 × 858,956
  4. Step 4: Simplify right side
    642,048x = 737,805,409,936
  5. Step 5: Solve for x
    x = 737,805,409,936/642,048
  6. Step 6: Final answer
    x = 1,149,143.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.