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Finding the Third Proportional to 197,028 and 312,039

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Solution

The third proportional to 197,028 and 312,039 is: 494,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,028 : 312,039 = 312,039 : x
  2. Step 2: Convert to fraction form
    197,028/312,039 = 312,039/x
  3. Step 3: Cross multiply
    197,028x = 312,039 × 312,039
  4. Step 4: Simplify right side
    197,028x = 97,368,337,521
  5. Step 5: Solve for x
    x = 97,368,337,521/197,028
  6. Step 6: Final answer
    x = 494,185.28

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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.