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Finding the Third Proportional to 190,072 and 410,276

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Solution

The third proportional to 190,072 and 410,276 is: 885,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,072 : 410,276 = 410,276 : x
  2. Step 2: Convert to fraction form
    190,072/410,276 = 410,276/x
  3. Step 3: Cross multiply
    190,072x = 410,276 × 410,276
  4. Step 4: Simplify right side
    190,072x = 168,326,396,176
  5. Step 5: Solve for x
    x = 168,326,396,176/190,072
  6. Step 6: Final answer
    x = 885,592.81

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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.