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Finding the Third Proportional to 197,456 and 288,810

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Solution

The third proportional to 197,456 and 288,810 is: 422,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,456 : 288,810 = 288,810 : x
  2. Step 2: Convert to fraction form
    197,456/288,810 = 288,810/x
  3. Step 3: Cross multiply
    197,456x = 288,810 × 288,810
  4. Step 4: Simplify right side
    197,456x = 83,411,216,100
  5. Step 5: Solve for x
    x = 83,411,216,100/197,456
  6. Step 6: Final answer
    x = 422,429.38

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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.