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Finding the Third Proportional to 490,540 and 695,634

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Solution

The third proportional to 490,540 and 695,634 is: 986,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,540 : 695,634 = 695,634 : x
  2. Step 2: Convert to fraction form
    490,540/695,634 = 695,634/x
  3. Step 3: Cross multiply
    490,540x = 695,634 × 695,634
  4. Step 4: Simplify right side
    490,540x = 483,906,661,956
  5. Step 5: Solve for x
    x = 483,906,661,956/490,540
  6. Step 6: Final answer
    x = 986,477.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.