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Finding the Third Proportional to 367,084 and 812,780

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Solution

The third proportional to 367,084 and 812,780 is: 1,799,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,084 : 812,780 = 812,780 : x
  2. Step 2: Convert to fraction form
    367,084/812,780 = 812,780/x
  3. Step 3: Cross multiply
    367,084x = 812,780 × 812,780
  4. Step 4: Simplify right side
    367,084x = 660,611,328,400
  5. Step 5: Solve for x
    x = 660,611,328,400/367,084
  6. Step 6: Final answer
    x = 1,799,618.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.