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Finding the Third Proportional to 190,520 and 407,284

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Solution

The third proportional to 190,520 and 407,284 is: 870,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,520 : 407,284 = 407,284 : x
  2. Step 2: Convert to fraction form
    190,520/407,284 = 407,284/x
  3. Step 3: Cross multiply
    190,520x = 407,284 × 407,284
  4. Step 4: Simplify right side
    190,520x = 165,880,256,656
  5. Step 5: Solve for x
    x = 165,880,256,656/190,520
  6. Step 6: Final answer
    x = 870,671.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.