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Finding the Third Proportional to 289,581 and 638,103

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Solution

The third proportional to 289,581 and 638,103 is: 1,406,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,581 : 638,103 = 638,103 : x
  2. Step 2: Convert to fraction form
    289,581/638,103 = 638,103/x
  3. Step 3: Cross multiply
    289,581x = 638,103 × 638,103
  4. Step 4: Simplify right side
    289,581x = 407,175,438,609
  5. Step 5: Solve for x
    x = 407,175,438,609/289,581
  6. Step 6: Final answer
    x = 1,406,084.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.