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Finding the Third Proportional to 288,106 and 436,135

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Solution

The third proportional to 288,106 and 436,135 is: 660,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,106 : 436,135 = 436,135 : x
  2. Step 2: Convert to fraction form
    288,106/436,135 = 436,135/x
  3. Step 3: Cross multiply
    288,106x = 436,135 × 436,135
  4. Step 4: Simplify right side
    288,106x = 190,213,738,225
  5. Step 5: Solve for x
    x = 190,213,738,225/288,106
  6. Step 6: Final answer
    x = 660,221.37

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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.