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Finding the Third Proportional to 196,278 and 423,636

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Solution

The third proportional to 196,278 and 423,636 is: 914,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,278 : 423,636 = 423,636 : x
  2. Step 2: Convert to fraction form
    196,278/423,636 = 423,636/x
  3. Step 3: Cross multiply
    196,278x = 423,636 × 423,636
  4. Step 4: Simplify right side
    196,278x = 179,467,460,496
  5. Step 5: Solve for x
    x = 179,467,460,496/196,278
  6. Step 6: Final answer
    x = 914,353.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.