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Finding the Third Proportional to 276,316 and 426,684

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Solution

The third proportional to 276,316 and 426,684 is: 658,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,316 : 426,684 = 426,684 : x
  2. Step 2: Convert to fraction form
    276,316/426,684 = 426,684/x
  3. Step 3: Cross multiply
    276,316x = 426,684 × 426,684
  4. Step 4: Simplify right side
    276,316x = 182,059,235,856
  5. Step 5: Solve for x
    x = 182,059,235,856/276,316
  6. Step 6: Final answer
    x = 658,880.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.