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Finding the Third Proportional to 196,512 and 420,648

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Solution

The third proportional to 196,512 and 420,648 is: 900,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,512 : 420,648 = 420,648 : x
  2. Step 2: Convert to fraction form
    196,512/420,648 = 420,648/x
  3. Step 3: Cross multiply
    196,512x = 420,648 × 420,648
  4. Step 4: Simplify right side
    196,512x = 176,944,739,904
  5. Step 5: Solve for x
    x = 176,944,739,904/196,512
  6. Step 6: Final answer
    x = 900,427.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.