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Finding the Third Proportional to 190,142 and 284,620

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Solution

The third proportional to 190,142 and 284,620 is: 426,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,142 : 284,620 = 284,620 : x
  2. Step 2: Convert to fraction form
    190,142/284,620 = 284,620/x
  3. Step 3: Cross multiply
    190,142x = 284,620 × 284,620
  4. Step 4: Simplify right side
    190,142x = 81,008,544,400
  5. Step 5: Solve for x
    x = 81,008,544,400/190,142
  6. Step 6: Final answer
    x = 426,042.35

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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.