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Finding the Third Proportional to 828,630 and 1,216,701

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Solution

The third proportional to 828,630 and 1,216,701 is: 1,786,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,630 : 1,216,701 = 1,216,701 : x
  2. Step 2: Convert to fraction form
    828,630/1,216,701 = 1,216,701/x
  3. Step 3: Cross multiply
    828,630x = 1,216,701 × 1,216,701
  4. Step 4: Simplify right side
    828,630x = 1,480,361,323,401
  5. Step 5: Solve for x
    x = 1,480,361,323,401/828,630
  6. Step 6: Final answer
    x = 1,786,516.69

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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.