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Finding the Third Proportional to 190,728.75 and 288,548.25

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Solution

The third proportional to 190,728.75 and 288,548.25 is: 436,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,728.75 : 288,548.25 = 288,548.25 : x
  2. Step 2: Convert to fraction form
    190,728.75/288,548.25 = 288,548.25/x
  3. Step 3: Cross multiply
    190,728.75x = 288,548.25 × 288,548.25
  4. Step 4: Simplify right side
    190,728.75x = 83,260,092,578.06
  5. Step 5: Solve for x
    x = 83,260,092,578.06/190,728.75
  6. Step 6: Final answer
    x = 436,536.67

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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.