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Finding the Third Proportional to 276,840 and 602,280

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Solution

The third proportional to 276,840 and 602,280 is: 1,310,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,840 : 602,280 = 602,280 : x
  2. Step 2: Convert to fraction form
    276,840/602,280 = 602,280/x
  3. Step 3: Cross multiply
    276,840x = 602,280 × 602,280
  4. Step 4: Simplify right side
    276,840x = 362,741,198,400
  5. Step 5: Solve for x
    x = 362,741,198,400/276,840
  6. Step 6: Final answer
    x = 1,310,291.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.