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Finding the Third Proportional to 288,081.56 and 436,083.75

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Solution

The third proportional to 288,081.56 and 436,083.75 is: 660,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,081.56 : 436,083.75 = 436,083.75 : x
  2. Step 2: Convert to fraction form
    288,081.56/436,083.75 = 436,083.75/x
  3. Step 3: Cross multiply
    288,081.56x = 436,083.75 × 436,083.75
  4. Step 4: Simplify right side
    288,081.56x = 190,169,037,014.06
  5. Step 5: Solve for x
    x = 190,169,037,014.06/288,081.56
  6. Step 6: Final answer
    x = 660,122.21

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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.