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Finding the Third Proportional to 197,017 and 312,019

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Solution

The third proportional to 197,017 and 312,019 is: 494,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,017 : 312,019 = 312,019 : x
  2. Step 2: Convert to fraction form
    197,017/312,019 = 312,019/x
  3. Step 3: Cross multiply
    197,017x = 312,019 × 312,019
  4. Step 4: Simplify right side
    197,017x = 97,355,856,361
  5. Step 5: Solve for x
    x = 97,355,856,361/197,017
  6. Step 6: Final answer
    x = 494,149.52

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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.