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Finding the Third Proportional to 196,290 and 423,666

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Solution

The third proportional to 196,290 and 423,666 is: 914,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,290 : 423,666 = 423,666 : x
  2. Step 2: Convert to fraction form
    196,290/423,666 = 423,666/x
  3. Step 3: Cross multiply
    196,290x = 423,666 × 423,666
  4. Step 4: Simplify right side
    196,290x = 179,492,879,556
  5. Step 5: Solve for x
    x = 179,492,879,556/196,290
  6. Step 6: Final answer
    x = 914,427.02

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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.