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Finding the Third Proportional to 346,960 and 721,622

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Solution

The third proportional to 346,960 and 721,622 is: 1,500,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,960 : 721,622 = 721,622 : x
  2. Step 2: Convert to fraction form
    346,960/721,622 = 721,622/x
  3. Step 3: Cross multiply
    346,960x = 721,622 × 721,622
  4. Step 4: Simplify right side
    346,960x = 520,738,310,884
  5. Step 5: Solve for x
    x = 520,738,310,884/346,960
  6. Step 6: Final answer
    x = 1,500,859.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.