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Finding the Third Proportional to 197,220 and 308,970

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Solution

The third proportional to 197,220 and 308,970 is: 484,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,220 : 308,970 = 308,970 : x
  2. Step 2: Convert to fraction form
    197,220/308,970 = 308,970/x
  3. Step 3: Cross multiply
    197,220x = 308,970 × 308,970
  4. Step 4: Simplify right side
    197,220x = 95,462,460,900
  5. Step 5: Solve for x
    x = 95,462,460,900/197,220
  6. Step 6: Final answer
    x = 484,040.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.