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Finding the Third Proportional to 188,255 and 386,531

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Solution

The third proportional to 188,255 and 386,531 is: 793,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,255 : 386,531 = 386,531 : x
  2. Step 2: Convert to fraction form
    188,255/386,531 = 386,531/x
  3. Step 3: Cross multiply
    188,255x = 386,531 × 386,531
  4. Step 4: Simplify right side
    188,255x = 149,406,213,961
  5. Step 5: Solve for x
    x = 149,406,213,961/188,255
  6. Step 6: Final answer
    x = 793,637.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.