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Finding the Third Proportional to 318,610.97 and 692,686.69

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Solution

The third proportional to 318,610.97 and 692,686.69 is: 1,505,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,610.97 : 692,686.69 = 692,686.69 : x
  2. Step 2: Convert to fraction form
    318,610.97/692,686.69 = 692,686.69/x
  3. Step 3: Cross multiply
    318,610.97x = 692,686.69 × 692,686.69
  4. Step 4: Simplify right side
    318,610.97x = 479,814,847,039.72
  5. Step 5: Solve for x
    x = 479,814,847,039.72/318,610.97
  6. Step 6: Final answer
    x = 1,505,958.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.