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Finding the Third Proportional to 407,284 and 872,936

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Solution

The third proportional to 407,284 and 872,936 is: 1,870,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,284 : 872,936 = 872,936 : x
  2. Step 2: Convert to fraction form
    407,284/872,936 = 872,936/x
  3. Step 3: Cross multiply
    407,284x = 872,936 × 872,936
  4. Step 4: Simplify right side
    407,284x = 762,017,260,096
  5. Step 5: Solve for x
    x = 762,017,260,096/407,284
  6. Step 6: Final answer
    x = 1,870,972.74

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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.