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Finding the Third Proportional to 196,865 and 429,815

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Solution

The third proportional to 196,865 and 429,815 is: 938,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,865 : 429,815 = 429,815 : x
  2. Step 2: Convert to fraction form
    196,865/429,815 = 429,815/x
  3. Step 3: Cross multiply
    196,865x = 429,815 × 429,815
  4. Step 4: Simplify right side
    196,865x = 184,740,934,225
  5. Step 5: Solve for x
    x = 184,740,934,225/196,865
  6. Step 6: Final answer
    x = 938,414.32

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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.