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Finding the Third Proportional to 196,440 and 421,554

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Solution

The third proportional to 196,440 and 421,554 is: 904,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,440 : 421,554 = 421,554 : x
  2. Step 2: Convert to fraction form
    196,440/421,554 = 421,554/x
  3. Step 3: Cross multiply
    196,440x = 421,554 × 421,554
  4. Step 4: Simplify right side
    196,440x = 177,707,774,916
  5. Step 5: Solve for x
    x = 177,707,774,916/196,440
  6. Step 6: Final answer
    x = 904,641.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.