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Finding the Third Proportional to 190,845 and 286,276.50

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Solution

The third proportional to 190,845 and 286,276.50 is: 429,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,845 : 286,276.50 = 286,276.50 : x
  2. Step 2: Convert to fraction form
    190,845/286,276.50 = 286,276.50/x
  3. Step 3: Cross multiply
    190,845x = 286,276.50 × 286,276.50
  4. Step 4: Simplify right side
    190,845x = 81,954,234,452.25
  5. Step 5: Solve for x
    x = 81,954,234,452.25/190,845
  6. Step 6: Final answer
    x = 429,428.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.