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Finding the Third Proportional to 399,264 and 587,205

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Solution

The third proportional to 399,264 and 587,205 is: 863,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,264 : 587,205 = 587,205 : x
  2. Step 2: Convert to fraction form
    399,264/587,205 = 587,205/x
  3. Step 3: Cross multiply
    399,264x = 587,205 × 587,205
  4. Step 4: Simplify right side
    399,264x = 344,809,712,025
  5. Step 5: Solve for x
    x = 344,809,712,025/399,264
  6. Step 6: Final answer
    x = 863,613.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.