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Finding the Third Proportional to 289,253 and 628,259

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Solution

The third proportional to 289,253 and 628,259 is: 1,364,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,253 : 628,259 = 628,259 : x
  2. Step 2: Convert to fraction form
    289,253/628,259 = 628,259/x
  3. Step 3: Cross multiply
    289,253x = 628,259 × 628,259
  4. Step 4: Simplify right side
    289,253x = 394,709,371,081
  5. Step 5: Solve for x
    x = 394,709,371,081/289,253
  6. Step 6: Final answer
    x = 1,364,581.77

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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.