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Finding the Third Proportional to 196,740 and 428,517

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Solution

The third proportional to 196,740 and 428,517 is: 933,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,740 : 428,517 = 428,517 : x
  2. Step 2: Convert to fraction form
    196,740/428,517 = 428,517/x
  3. Step 3: Cross multiply
    196,740x = 428,517 × 428,517
  4. Step 4: Simplify right side
    196,740x = 183,626,819,289
  5. Step 5: Solve for x
    x = 183,626,819,289/196,740
  6. Step 6: Final answer
    x = 933,347.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.