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Finding the Third Proportional to 399,639 and 855,960

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Solution

The third proportional to 399,639 and 855,960 is: 1,833,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,639 : 855,960 = 855,960 : x
  2. Step 2: Convert to fraction form
    399,639/855,960 = 855,960/x
  3. Step 3: Cross multiply
    399,639x = 855,960 × 855,960
  4. Step 4: Simplify right side
    399,639x = 732,667,521,600
  5. Step 5: Solve for x
    x = 732,667,521,600/399,639
  6. Step 6: Final answer
    x = 1,833,323.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.