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Finding the Third Proportional to 278,288 and 609,056

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Solution

The third proportional to 278,288 and 609,056 is: 1,332,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,288 : 609,056 = 609,056 : x
  2. Step 2: Convert to fraction form
    278,288/609,056 = 609,056/x
  3. Step 3: Cross multiply
    278,288x = 609,056 × 609,056
  4. Step 4: Simplify right side
    278,288x = 370,949,211,136
  5. Step 5: Solve for x
    x = 370,949,211,136/278,288
  6. Step 6: Final answer
    x = 1,332,968.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.