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Finding the Third Proportional to 196,810 and 407,624

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Solution

The third proportional to 196,810 and 407,624 is: 844,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,810 : 407,624 = 407,624 : x
  2. Step 2: Convert to fraction form
    196,810/407,624 = 407,624/x
  3. Step 3: Cross multiply
    196,810x = 407,624 × 407,624
  4. Step 4: Simplify right side
    196,810x = 166,157,325,376
  5. Step 5: Solve for x
    x = 166,157,325,376/196,810
  6. Step 6: Final answer
    x = 844,252.45

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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.