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Finding the Third Proportional to 196,711 and 288,611

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Solution

The third proportional to 196,711 and 288,611 is: 423,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,711 : 288,611 = 288,611 : x
  2. Step 2: Convert to fraction form
    196,711/288,611 = 288,611/x
  3. Step 3: Cross multiply
    196,711x = 288,611 × 288,611
  4. Step 4: Simplify right side
    196,711x = 83,296,309,321
  5. Step 5: Solve for x
    x = 83,296,309,321/196,711
  6. Step 6: Final answer
    x = 423,445.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.