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Finding the Third Proportional to 361,767 and 787,818

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Solution

The third proportional to 361,767 and 787,818 is: 1,715,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,767 : 787,818 = 787,818 : x
  2. Step 2: Convert to fraction form
    361,767/787,818 = 787,818/x
  3. Step 3: Cross multiply
    361,767x = 787,818 × 787,818
  4. Step 4: Simplify right side
    361,767x = 620,657,201,124
  5. Step 5: Solve for x
    x = 620,657,201,124/361,767
  6. Step 6: Final answer
    x = 1,715,626.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.