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Finding the Third Proportional to 840,832 and 1,868,288

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Solution

The third proportional to 840,832 and 1,868,288 is: 4,151,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,832 : 1,868,288 = 1,868,288 : x
  2. Step 2: Convert to fraction form
    840,832/1,868,288 = 1,868,288/x
  3. Step 3: Cross multiply
    840,832x = 1,868,288 × 1,868,288
  4. Step 4: Simplify right side
    840,832x = 3,490,500,050,944
  5. Step 5: Solve for x
    x = 3,490,500,050,944/840,832
  6. Step 6: Final answer
    x = 4,151,245.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.