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Finding the Third Proportional to 152,678 and 335,476

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Solution

The third proportional to 152,678 and 335,476 is: 737,134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,678 : 335,476 = 335,476 : x
  2. Step 2: Convert to fraction form
    152,678/335,476 = 335,476/x
  3. Step 3: Cross multiply
    152,678x = 335,476 × 335,476
  4. Step 4: Simplify right side
    152,678x = 112,544,146,576
  5. Step 5: Solve for x
    x = 112,544,146,576/152,678
  6. Step 6: Final answer
    x = 737,134.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.