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Finding the Third Proportional to 721,023 and 1,669,119

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Solution

The third proportional to 721,023 and 1,669,119 is: 3,863,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,023 : 1,669,119 = 1,669,119 : x
  2. Step 2: Convert to fraction form
    721,023/1,669,119 = 1,669,119/x
  3. Step 3: Cross multiply
    721,023x = 1,669,119 × 1,669,119
  4. Step 4: Simplify right side
    721,023x = 2,785,958,236,161
  5. Step 5: Solve for x
    x = 2,785,958,236,161/721,023
  6. Step 6: Final answer
    x = 3,863,896.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.