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Finding the Third Proportional to 196,425 and 428,835

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Solution

The third proportional to 196,425 and 428,835 is: 936,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,425 : 428,835 = 428,835 : x
  2. Step 2: Convert to fraction form
    196,425/428,835 = 428,835/x
  3. Step 3: Cross multiply
    196,425x = 428,835 × 428,835
  4. Step 4: Simplify right side
    196,425x = 183,899,457,225
  5. Step 5: Solve for x
    x = 183,899,457,225/196,425
  6. Step 6: Final answer
    x = 936,232.44

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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.