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Finding the Third Proportional to 276,200 and 598,480

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Solution

The third proportional to 276,200 and 598,480 is: 1,296,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,200 : 598,480 = 598,480 : x
  2. Step 2: Convert to fraction form
    276,200/598,480 = 598,480/x
  3. Step 3: Cross multiply
    276,200x = 598,480 × 598,480
  4. Step 4: Simplify right side
    276,200x = 358,178,310,400
  5. Step 5: Solve for x
    x = 358,178,310,400/276,200
  6. Step 6: Final answer
    x = 1,296,807.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.