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Finding the Third Proportional to 197,806 and 428,444

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Solution

The third proportional to 197,806 and 428,444 is: 928,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,806 : 428,444 = 428,444 : x
  2. Step 2: Convert to fraction form
    197,806/428,444 = 428,444/x
  3. Step 3: Cross multiply
    197,806x = 428,444 × 428,444
  4. Step 4: Simplify right side
    197,806x = 183,564,261,136
  5. Step 5: Solve for x
    x = 183,564,261,136/197,806
  6. Step 6: Final answer
    x = 928,001.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.