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Finding the Third Proportional to 197,140.50 and 421,038

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Solution

The third proportional to 197,140.50 and 421,038 is: 899,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,140.50 : 421,038 = 421,038 : x
  2. Step 2: Convert to fraction form
    197,140.50/421,038 = 421,038/x
  3. Step 3: Cross multiply
    197,140.50x = 421,038 × 421,038
  4. Step 4: Simplify right side
    197,140.50x = 177,272,997,444
  5. Step 5: Solve for x
    x = 177,272,997,444/197,140.50
  6. Step 6: Final answer
    x = 899,221.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.