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Finding the Third Proportional to 196,417 and 423,914

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Solution

The third proportional to 196,417 and 423,914 is: 914,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,417 : 423,914 = 423,914 : x
  2. Step 2: Convert to fraction form
    196,417/423,914 = 423,914/x
  3. Step 3: Cross multiply
    196,417x = 423,914 × 423,914
  4. Step 4: Simplify right side
    196,417x = 179,703,079,396
  5. Step 5: Solve for x
    x = 179,703,079,396/196,417
  6. Step 6: Final answer
    x = 914,905.94

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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.