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Finding the Third Proportional to 90,946 and 197,630

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Solution

The third proportional to 90,946 and 197,630 is: 429,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,946 : 197,630 = 197,630 : x
  2. Step 2: Convert to fraction form
    90,946/197,630 = 197,630/x
  3. Step 3: Cross multiply
    90,946x = 197,630 × 197,630
  4. Step 4: Simplify right side
    90,946x = 39,057,616,900
  5. Step 5: Solve for x
    x = 39,057,616,900/90,946
  6. Step 6: Final answer
    x = 429,459.43

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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.