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Finding the Third Proportional to 300,356 and 650,284

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Solution

The third proportional to 300,356 and 650,284 is: 1,407,893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,356 : 650,284 = 650,284 : x
  2. Step 2: Convert to fraction form
    300,356/650,284 = 650,284/x
  3. Step 3: Cross multiply
    300,356x = 650,284 × 650,284
  4. Step 4: Simplify right side
    300,356x = 422,869,280,656
  5. Step 5: Solve for x
    x = 422,869,280,656/300,356
  6. Step 6: Final answer
    x = 1,407,893.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.