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Finding the Third Proportional to 289,489.78 and 637,876.69

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Solution

The third proportional to 289,489.78 and 637,876.69 is: 1,405,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,489.78 : 637,876.69 = 637,876.69 : x
  2. Step 2: Convert to fraction form
    289,489.78/637,876.69 = 637,876.69/x
  3. Step 3: Cross multiply
    289,489.78x = 637,876.69 × 637,876.69
  4. Step 4: Simplify right side
    289,489.78x = 406,886,668,455.97
  5. Step 5: Solve for x
    x = 406,886,668,455.97/289,489.78
  6. Step 6: Final answer
    x = 1,405,530.33

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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.