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Finding the Third Proportional to 190,780 and 295,145

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Solution

The third proportional to 190,780 and 295,145 is: 456,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,780 : 295,145 = 295,145 : x
  2. Step 2: Convert to fraction form
    190,780/295,145 = 295,145/x
  3. Step 3: Cross multiply
    190,780x = 295,145 × 295,145
  4. Step 4: Simplify right side
    190,780x = 87,110,571,025
  5. Step 5: Solve for x
    x = 87,110,571,025/190,780
  6. Step 6: Final answer
    x = 456,602.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.