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Finding the Third Proportional to 190,078 and 409,628

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Solution

The third proportional to 190,078 and 409,628 is: 882,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,078 : 409,628 = 409,628 : x
  2. Step 2: Convert to fraction form
    190,078/409,628 = 409,628/x
  3. Step 3: Cross multiply
    190,078x = 409,628 × 409,628
  4. Step 4: Simplify right side
    190,078x = 167,795,098,384
  5. Step 5: Solve for x
    x = 167,795,098,384/190,078
  6. Step 6: Final answer
    x = 882,769.70

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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.