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Finding the Third Proportional to 197,040 and 288,570

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Solution

The third proportional to 197,040 and 288,570 is: 422,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,040 : 288,570 = 288,570 : x
  2. Step 2: Convert to fraction form
    197,040/288,570 = 288,570/x
  3. Step 3: Cross multiply
    197,040x = 288,570 × 288,570
  4. Step 4: Simplify right side
    197,040x = 83,272,644,900
  5. Step 5: Solve for x
    x = 83,272,644,900/197,040
  6. Step 6: Final answer
    x = 422,617.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.