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Finding the Third Proportional to 190,880 and 431,252

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Solution

The third proportional to 190,880 and 431,252 is: 974,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,880 : 431,252 = 431,252 : x
  2. Step 2: Convert to fraction form
    190,880/431,252 = 431,252/x
  3. Step 3: Cross multiply
    190,880x = 431,252 × 431,252
  4. Step 4: Simplify right side
    190,880x = 185,978,287,504
  5. Step 5: Solve for x
    x = 185,978,287,504/190,880
  6. Step 6: Final answer
    x = 974,320.45

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.