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Finding the Third Proportional to 180,157.50 and 417,021

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Solution

The third proportional to 180,157.50 and 417,021 is: 965,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,157.50 : 417,021 = 417,021 : x
  2. Step 2: Convert to fraction form
    180,157.50/417,021 = 417,021/x
  3. Step 3: Cross multiply
    180,157.50x = 417,021 × 417,021
  4. Step 4: Simplify right side
    180,157.50x = 173,906,514,441
  5. Step 5: Solve for x
    x = 173,906,514,441/180,157.50
  6. Step 6: Final answer
    x = 965,302.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.