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Finding the Third Proportional to 197,021 and 312,025

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Solution

The third proportional to 197,021 and 312,025 is: 494,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,021 : 312,025 = 312,025 : x
  2. Step 2: Convert to fraction form
    197,021/312,025 = 312,025/x
  3. Step 3: Cross multiply
    197,021x = 312,025 × 312,025
  4. Step 4: Simplify right side
    197,021x = 97,359,600,625
  5. Step 5: Solve for x
    x = 97,359,600,625/197,021
  6. Step 6: Final answer
    x = 494,158.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.