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Finding the Third Proportional to 190,365.75 and 278,986.50

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Solution

The third proportional to 190,365.75 and 278,986.50 is: 408,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,365.75 : 278,986.50 = 278,986.50 : x
  2. Step 2: Convert to fraction form
    190,365.75/278,986.50 = 278,986.50/x
  3. Step 3: Cross multiply
    190,365.75x = 278,986.50 × 278,986.50
  4. Step 4: Simplify right side
    190,365.75x = 77,833,467,182.25
  5. Step 5: Solve for x
    x = 77,833,467,182.25/190,365.75
  6. Step 6: Final answer
    x = 408,862.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.