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Finding the Third Proportional to 72,007 and 168,225

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Solution

The third proportional to 72,007 and 168,225 is: 393,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,007 : 168,225 = 168,225 : x
  2. Step 2: Convert to fraction form
    72,007/168,225 = 168,225/x
  3. Step 3: Cross multiply
    72,007x = 168,225 × 168,225
  4. Step 4: Simplify right side
    72,007x = 28,299,650,625
  5. Step 5: Solve for x
    x = 28,299,650,625/72,007
  6. Step 6: Final answer
    x = 393,012.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.