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Finding the Third Proportional to 190,628 and 412,642

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Solution

The third proportional to 190,628 and 412,642 is: 893,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,628 : 412,642 = 412,642 : x
  2. Step 2: Convert to fraction form
    190,628/412,642 = 412,642/x
  3. Step 3: Cross multiply
    190,628x = 412,642 × 412,642
  4. Step 4: Simplify right side
    190,628x = 170,273,420,164
  5. Step 5: Solve for x
    x = 170,273,420,164/190,628
  6. Step 6: Final answer
    x = 893,223.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.