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Finding the Third Proportional to 288,072 and 436,086

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Solution

The third proportional to 288,072 and 436,086 is: 660,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,072 : 436,086 = 436,086 : x
  2. Step 2: Convert to fraction form
    288,072/436,086 = 436,086/x
  3. Step 3: Cross multiply
    288,072x = 436,086 × 436,086
  4. Step 4: Simplify right side
    288,072x = 190,170,999,396
  5. Step 5: Solve for x
    x = 190,170,999,396/288,072
  6. Step 6: Final answer
    x = 660,150.93

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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.