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Finding the Third Proportional to 289,522.69 and 417,676.50

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Solution

The third proportional to 289,522.69 and 417,676.50 is: 602,556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,522.69 : 417,676.50 = 417,676.50 : x
  2. Step 2: Convert to fraction form
    289,522.69/417,676.50 = 417,676.50/x
  3. Step 3: Cross multiply
    289,522.69x = 417,676.50 × 417,676.50
  4. Step 4: Simplify right side
    289,522.69x = 174,453,658,652.25
  5. Step 5: Solve for x
    x = 174,453,658,652.25/289,522.69
  6. Step 6: Final answer
    x = 602,556.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.