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Finding the Third Proportional to 197,014 and 312,015

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Solution

The third proportional to 197,014 and 312,015 is: 494,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,014 : 312,015 = 312,015 : x
  2. Step 2: Convert to fraction form
    197,014/312,015 = 312,015/x
  3. Step 3: Cross multiply
    197,014x = 312,015 × 312,015
  4. Step 4: Simplify right side
    197,014x = 97,353,360,225
  5. Step 5: Solve for x
    x = 97,353,360,225/197,014
  6. Step 6: Final answer
    x = 494,144.38

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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.