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Finding the Third Proportional to 196,355 and 407,281

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Solution

The third proportional to 196,355 and 407,281 is: 844,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,355 : 407,281 = 407,281 : x
  2. Step 2: Convert to fraction form
    196,355/407,281 = 407,281/x
  3. Step 3: Cross multiply
    196,355x = 407,281 × 407,281
  4. Step 4: Simplify right side
    196,355x = 165,877,812,961
  5. Step 5: Solve for x
    x = 165,877,812,961/196,355
  6. Step 6: Final answer
    x = 844,785.28

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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.