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Finding the Third Proportional to 197,100 and 302,940

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Solution

The third proportional to 197,100 and 302,940 is: 465,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,100 : 302,940 = 302,940 : x
  2. Step 2: Convert to fraction form
    197,100/302,940 = 302,940/x
  3. Step 3: Cross multiply
    197,100x = 302,940 × 302,940
  4. Step 4: Simplify right side
    197,100x = 91,772,643,600
  5. Step 5: Solve for x
    x = 91,772,643,600/197,100
  6. Step 6: Final answer
    x = 465,614.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.