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Finding the Third Proportional to 288,903 and 695,992

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Solution

The third proportional to 288,903 and 695,992 is: 1,676,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,903 : 695,992 = 695,992 : x
  2. Step 2: Convert to fraction form
    288,903/695,992 = 695,992/x
  3. Step 3: Cross multiply
    288,903x = 695,992 × 695,992
  4. Step 4: Simplify right side
    288,903x = 484,404,864,064
  5. Step 5: Solve for x
    x = 484,404,864,064/288,903
  6. Step 6: Final answer
    x = 1,676,704.17

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.