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Finding the Third Proportional to 197,810 and 409,444

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Solution

The third proportional to 197,810 and 409,444 is: 847,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,810 : 409,444 = 409,444 : x
  2. Step 2: Convert to fraction form
    197,810/409,444 = 409,444/x
  3. Step 3: Cross multiply
    197,810x = 409,444 × 409,444
  4. Step 4: Simplify right side
    197,810x = 167,644,389,136
  5. Step 5: Solve for x
    x = 167,644,389,136/197,810
  6. Step 6: Final answer
    x = 847,502.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.