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Finding the Third Proportional to 90,447 and 196,461

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Solution

The third proportional to 90,447 and 196,461 is: 426,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,447 : 196,461 = 196,461 : x
  2. Step 2: Convert to fraction form
    90,447/196,461 = 196,461/x
  3. Step 3: Cross multiply
    90,447x = 196,461 × 196,461
  4. Step 4: Simplify right side
    90,447x = 38,596,924,521
  5. Step 5: Solve for x
    x = 38,596,924,521/90,447
  6. Step 6: Final answer
    x = 426,735.27

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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.