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Finding the Third Proportional to 276,120 and 410,292

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Solution

The third proportional to 276,120 and 410,292 is: 609,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,120 : 410,292 = 410,292 : x
  2. Step 2: Convert to fraction form
    276,120/410,292 = 410,292/x
  3. Step 3: Cross multiply
    276,120x = 410,292 × 410,292
  4. Step 4: Simplify right side
    276,120x = 168,339,525,264
  5. Step 5: Solve for x
    x = 168,339,525,264/276,120
  6. Step 6: Final answer
    x = 609,660.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.