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Finding the Third Proportional to 190,139 and 284,617

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Solution

The third proportional to 190,139 and 284,617 is: 426,040.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,139 : 284,617 = 284,617 : x
  2. Step 2: Convert to fraction form
    190,139/284,617 = 284,617/x
  3. Step 3: Cross multiply
    190,139x = 284,617 × 284,617
  4. Step 4: Simplify right side
    190,139x = 81,006,836,689
  5. Step 5: Solve for x
    x = 81,006,836,689/190,139
  6. Step 6: Final answer
    x = 426,040.09

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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.