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Finding the Third Proportional to 197,260 and 320,480

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Solution

The third proportional to 197,260 and 320,480 is: 520,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,260 : 320,480 = 320,480 : x
  2. Step 2: Convert to fraction form
    197,260/320,480 = 320,480/x
  3. Step 3: Cross multiply
    197,260x = 320,480 × 320,480
  4. Step 4: Simplify right side
    197,260x = 102,707,430,400
  5. Step 5: Solve for x
    x = 102,707,430,400/197,260
  6. Step 6: Final answer
    x = 520,670.34

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.