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Finding the Third Proportional to 196,792 and 420,944

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Solution

The third proportional to 196,792 and 420,944 is: 900,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,792 : 420,944 = 420,944 : x
  2. Step 2: Convert to fraction form
    196,792/420,944 = 420,944/x
  3. Step 3: Cross multiply
    196,792x = 420,944 × 420,944
  4. Step 4: Simplify right side
    196,792x = 177,193,851,136
  5. Step 5: Solve for x
    x = 177,193,851,136/196,792
  6. Step 6: Final answer
    x = 900,411.86

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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.