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Finding the Third Proportional to 288,077 and 436,097

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Solution

The third proportional to 288,077 and 436,097 is: 660,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,077 : 436,097 = 436,097 : x
  2. Step 2: Convert to fraction form
    288,077/436,097 = 436,097/x
  3. Step 3: Cross multiply
    288,077x = 436,097 × 436,097
  4. Step 4: Simplify right side
    288,077x = 190,180,593,409
  5. Step 5: Solve for x
    x = 190,180,593,409/288,077
  6. Step 6: Final answer
    x = 660,172.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.