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Finding the Third Proportional to 154,818 and 239,272

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Solution

The third proportional to 154,818 and 239,272 is: 369,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,818 : 239,272 = 239,272 : x
  2. Step 2: Convert to fraction form
    154,818/239,272 = 239,272/x
  3. Step 3: Cross multiply
    154,818x = 239,272 × 239,272
  4. Step 4: Simplify right side
    154,818x = 57,251,089,984
  5. Step 5: Solve for x
    x = 57,251,089,984/154,818
  6. Step 6: Final answer
    x = 369,796.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.