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Finding the Third Proportional to 401,828 and 606,818

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Solution

The third proportional to 401,828 and 606,818 is: 916,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,828 : 606,818 = 606,818 : x
  2. Step 2: Convert to fraction form
    401,828/606,818 = 606,818/x
  3. Step 3: Cross multiply
    401,828x = 606,818 × 606,818
  4. Step 4: Simplify right side
    401,828x = 368,228,085,124
  5. Step 5: Solve for x
    x = 368,228,085,124/401,828
  6. Step 6: Final answer
    x = 916,382.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.