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Finding the Third Proportional to 196,200 and 423,486

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Solution

The third proportional to 196,200 and 423,486 is: 914,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,200 : 423,486 = 423,486 : x
  2. Step 2: Convert to fraction form
    196,200/423,486 = 423,486/x
  3. Step 3: Cross multiply
    196,200x = 423,486 × 423,486
  4. Step 4: Simplify right side
    196,200x = 179,340,392,196
  5. Step 5: Solve for x
    x = 179,340,392,196/196,200
  6. Step 6: Final answer
    x = 914,069.28

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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.