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Finding the Third Proportional to 395,246 and 865,444

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Solution

The third proportional to 395,246 and 865,444 is: 1,895,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,246 : 865,444 = 865,444 : x
  2. Step 2: Convert to fraction form
    395,246/865,444 = 865,444/x
  3. Step 3: Cross multiply
    395,246x = 865,444 × 865,444
  4. Step 4: Simplify right side
    395,246x = 748,993,317,136
  5. Step 5: Solve for x
    x = 748,993,317,136/395,246
  6. Step 6: Final answer
    x = 1,895,005.43

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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.