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Finding the Third Proportional to 376,054 and 820,702

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Solution

The third proportional to 376,054 and 820,702 is: 1,791,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,054 : 820,702 = 820,702 : x
  2. Step 2: Convert to fraction form
    376,054/820,702 = 820,702/x
  3. Step 3: Cross multiply
    376,054x = 820,702 × 820,702
  4. Step 4: Simplify right side
    376,054x = 673,551,772,804
  5. Step 5: Solve for x
    x = 673,551,772,804/376,054
  6. Step 6: Final answer
    x = 1,791,103.86

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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.