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Finding the Third Proportional to 288,900.75 and 695,987.25

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Solution

The third proportional to 288,900.75 and 695,987.25 is: 1,676,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,900.75 : 695,987.25 = 695,987.25 : x
  2. Step 2: Convert to fraction form
    288,900.75/695,987.25 = 695,987.25/x
  3. Step 3: Cross multiply
    288,900.75x = 695,987.25 × 695,987.25
  4. Step 4: Simplify right side
    288,900.75x = 484,398,252,162.56
  5. Step 5: Solve for x
    x = 484,398,252,162.56/288,900.75
  6. Step 6: Final answer
    x = 1,676,694.34

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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.