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Finding the Third Proportional to 131,160 and 192,390.75

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Solution

The third proportional to 131,160 and 192,390.75 is: 282,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,160 : 192,390.75 = 192,390.75 : x
  2. Step 2: Convert to fraction form
    131,160/192,390.75 = 192,390.75/x
  3. Step 3: Cross multiply
    131,160x = 192,390.75 × 192,390.75
  4. Step 4: Simplify right side
    131,160x = 37,014,200,685.56
  5. Step 5: Solve for x
    x = 37,014,200,685.56/131,160
  6. Step 6: Final answer
    x = 282,206.47

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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.