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Finding the Third Proportional to 276,858 and 395,907.75

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Solution

The third proportional to 276,858 and 395,907.75 is: 566,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,858 : 395,907.75 = 395,907.75 : x
  2. Step 2: Convert to fraction form
    276,858/395,907.75 = 395,907.75/x
  3. Step 3: Cross multiply
    276,858x = 395,907.75 × 395,907.75
  4. Step 4: Simplify right side
    276,858x = 156,742,946,510.06
  5. Step 5: Solve for x
    x = 156,742,946,510.06/276,858
  6. Step 6: Final answer
    x = 566,149.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.