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Finding the Third Proportional to 196,232 and 426,832

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Solution

The third proportional to 196,232 and 426,832 is: 928,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,232 : 426,832 = 426,832 : x
  2. Step 2: Convert to fraction form
    196,232/426,832 = 426,832/x
  3. Step 3: Cross multiply
    196,232x = 426,832 × 426,832
  4. Step 4: Simplify right side
    196,232x = 182,185,556,224
  5. Step 5: Solve for x
    x = 182,185,556,224/196,232
  6. Step 6: Final answer
    x = 928,419.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.