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Finding the Third Proportional to 395,136 and 865,224

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Solution

The third proportional to 395,136 and 865,224 is: 1,894,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,136 : 865,224 = 865,224 : x
  2. Step 2: Convert to fraction form
    395,136/865,224 = 865,224/x
  3. Step 3: Cross multiply
    395,136x = 865,224 × 865,224
  4. Step 4: Simplify right side
    395,136x = 748,612,570,176
  5. Step 5: Solve for x
    x = 748,612,570,176/395,136
  6. Step 6: Final answer
    x = 1,894,569.39

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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.