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Finding the Third Proportional to 395,144 and 865,240

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Solution

The third proportional to 395,144 and 865,240 is: 1,894,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,144 : 865,240 = 865,240 : x
  2. Step 2: Convert to fraction form
    395,144/865,240 = 865,240/x
  3. Step 3: Cross multiply
    395,144x = 865,240 × 865,240
  4. Step 4: Simplify right side
    395,144x = 748,640,257,600
  5. Step 5: Solve for x
    x = 748,640,257,600/395,144
  6. Step 6: Final answer
    x = 1,894,601.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.