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Finding the Third Proportional to 128,958 and 273,576

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Solution

The third proportional to 128,958 and 273,576 is: 580,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,958 : 273,576 = 273,576 : x
  2. Step 2: Convert to fraction form
    128,958/273,576 = 273,576/x
  3. Step 3: Cross multiply
    128,958x = 273,576 × 273,576
  4. Step 4: Simplify right side
    128,958x = 74,843,827,776
  5. Step 5: Solve for x
    x = 74,843,827,776/128,958
  6. Step 6: Final answer
    x = 580,373.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.