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Finding the Third Proportional to 157,824 and 339,072

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Solution

The third proportional to 157,824 and 339,072 is: 728,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,824 : 339,072 = 339,072 : x
  2. Step 2: Convert to fraction form
    157,824/339,072 = 339,072/x
  3. Step 3: Cross multiply
    157,824x = 339,072 × 339,072
  4. Step 4: Simplify right side
    157,824x = 114,969,821,184
  5. Step 5: Solve for x
    x = 114,969,821,184/157,824
  6. Step 6: Final answer
    x = 728,468.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.