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Finding the Third Proportional to 820,674 and 1,282,851

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Solution

The third proportional to 820,674 and 1,282,851 is: 2,005,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,674 : 1,282,851 = 1,282,851 : x
  2. Step 2: Convert to fraction form
    820,674/1,282,851 = 1,282,851/x
  3. Step 3: Cross multiply
    820,674x = 1,282,851 × 1,282,851
  4. Step 4: Simplify right side
    820,674x = 1,645,706,688,201
  5. Step 5: Solve for x
    x = 1,645,706,688,201/820,674
  6. Step 6: Final answer
    x = 2,005,311.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.