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Finding the Third Proportional to 190,440 and 279,765

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Solution

The third proportional to 190,440 and 279,765 is: 410,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,440 : 279,765 = 279,765 : x
  2. Step 2: Convert to fraction form
    190,440/279,765 = 279,765/x
  3. Step 3: Cross multiply
    190,440x = 279,765 × 279,765
  4. Step 4: Simplify right side
    190,440x = 78,268,455,225
  5. Step 5: Solve for x
    x = 78,268,455,225/190,440
  6. Step 6: Final answer
    x = 410,987.48

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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.