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Finding the Third Proportional to 820,512 and 1,241,702

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Solution

The third proportional to 820,512 and 1,241,702 is: 1,879,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,512 : 1,241,702 = 1,241,702 : x
  2. Step 2: Convert to fraction form
    820,512/1,241,702 = 1,241,702/x
  3. Step 3: Cross multiply
    820,512x = 1,241,702 × 1,241,702
  4. Step 4: Simplify right side
    820,512x = 1,541,823,856,804
  5. Step 5: Solve for x
    x = 1,541,823,856,804/820,512
  6. Step 6: Final answer
    x = 1,879,099.70

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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.