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Finding the Third Proportional to 196,438 and 421,550

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Solution

The third proportional to 196,438 and 421,550 is: 904,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,438 : 421,550 = 421,550 : x
  2. Step 2: Convert to fraction form
    196,438/421,550 = 421,550/x
  3. Step 3: Cross multiply
    196,438x = 421,550 × 421,550
  4. Step 4: Simplify right side
    196,438x = 177,704,402,500
  5. Step 5: Solve for x
    x = 177,704,402,500/196,438
  6. Step 6: Final answer
    x = 904,633.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.