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Finding the Third Proportional to 289,266 and 628,290

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Solution

The third proportional to 289,266 and 628,290 is: 1,364,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,266 : 628,290 = 628,290 : x
  2. Step 2: Convert to fraction form
    289,266/628,290 = 628,290/x
  3. Step 3: Cross multiply
    289,266x = 628,290 × 628,290
  4. Step 4: Simplify right side
    289,266x = 394,748,324,100
  5. Step 5: Solve for x
    x = 394,748,324,100/289,266
  6. Step 6: Final answer
    x = 1,364,655.11

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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.