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Finding the Third Proportional to 190,311.19 and 418,297.50

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Solution

The third proportional to 190,311.19 and 418,297.50 is: 919,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,311.19 : 418,297.50 = 418,297.50 : x
  2. Step 2: Convert to fraction form
    190,311.19/418,297.50 = 418,297.50/x
  3. Step 3: Cross multiply
    190,311.19x = 418,297.50 × 418,297.50
  4. Step 4: Simplify right side
    190,311.19x = 174,972,798,506.25
  5. Step 5: Solve for x
    x = 174,972,798,506.25/190,311.19
  6. Step 6: Final answer
    x = 919,403.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.