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Finding the Third Proportional to 196,192 and 303,726

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Solution

The third proportional to 196,192 and 303,726 is: 470,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,192 : 303,726 = 303,726 : x
  2. Step 2: Convert to fraction form
    196,192/303,726 = 303,726/x
  3. Step 3: Cross multiply
    196,192x = 303,726 × 303,726
  4. Step 4: Simplify right side
    196,192x = 92,249,483,076
  5. Step 5: Solve for x
    x = 92,249,483,076/196,192
  6. Step 6: Final answer
    x = 470,200.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.