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Finding the Third Proportional to 197,840 and 402,672

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Solution

The third proportional to 197,840 and 402,672 is: 819,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,840 : 402,672 = 402,672 : x
  2. Step 2: Convert to fraction form
    197,840/402,672 = 402,672/x
  3. Step 3: Cross multiply
    197,840x = 402,672 × 402,672
  4. Step 4: Simplify right side
    197,840x = 162,144,739,584
  5. Step 5: Solve for x
    x = 162,144,739,584/197,840
  6. Step 6: Final answer
    x = 819,575.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.