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Finding the Third Proportional to 188,623 and 406,640

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Solution

The third proportional to 188,623 and 406,640 is: 876,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,623 : 406,640 = 406,640 : x
  2. Step 2: Convert to fraction form
    188,623/406,640 = 406,640/x
  3. Step 3: Cross multiply
    188,623x = 406,640 × 406,640
  4. Step 4: Simplify right side
    188,623x = 165,356,089,600
  5. Step 5: Solve for x
    x = 165,356,089,600/188,623
  6. Step 6: Final answer
    x = 876,648.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.