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Finding the Third Proportional to 90,425 and 196,417

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Solution

The third proportional to 90,425 and 196,417 is: 426,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,425 : 196,417 = 196,417 : x
  2. Step 2: Convert to fraction form
    90,425/196,417 = 196,417/x
  3. Step 3: Cross multiply
    90,425x = 196,417 × 196,417
  4. Step 4: Simplify right side
    90,425x = 38,579,637,889
  5. Step 5: Solve for x
    x = 38,579,637,889/90,425
  6. Step 6: Final answer
    x = 426,647.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.