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Finding the Third Proportional to 349,974 and 721,710

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Solution

The third proportional to 349,974 and 721,710 is: 1,488,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,974 : 721,710 = 721,710 : x
  2. Step 2: Convert to fraction form
    349,974/721,710 = 721,710/x
  3. Step 3: Cross multiply
    349,974x = 721,710 × 721,710
  4. Step 4: Simplify right side
    349,974x = 520,865,324,100
  5. Step 5: Solve for x
    x = 520,865,324,100/349,974
  6. Step 6: Final answer
    x = 1,488,297.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.