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Finding the Third Proportional to 289,284 and 628,324

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Solution

The third proportional to 289,284 and 628,324 is: 1,364,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,284 : 628,324 = 628,324 : x
  2. Step 2: Convert to fraction form
    289,284/628,324 = 628,324/x
  3. Step 3: Cross multiply
    289,284x = 628,324 × 628,324
  4. Step 4: Simplify right side
    289,284x = 394,791,048,976
  5. Step 5: Solve for x
    x = 394,791,048,976/289,284
  6. Step 6: Final answer
    x = 1,364,717.89

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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.