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Finding the Third Proportional to 395,244 and 865,440

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Solution

The third proportional to 395,244 and 865,440 is: 1,894,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,244 : 865,440 = 865,440 : x
  2. Step 2: Convert to fraction form
    395,244/865,440 = 865,440/x
  3. Step 3: Cross multiply
    395,244x = 865,440 × 865,440
  4. Step 4: Simplify right side
    395,244x = 748,986,393,600
  5. Step 5: Solve for x
    x = 748,986,393,600/395,244
  6. Step 6: Final answer
    x = 1,894,997.50

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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.