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Finding the Third Proportional to 278,324 and 606,640

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Solution

The third proportional to 278,324 and 606,640 is: 1,322,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,324 : 606,640 = 606,640 : x
  2. Step 2: Convert to fraction form
    278,324/606,640 = 606,640/x
  3. Step 3: Cross multiply
    278,324x = 606,640 × 606,640
  4. Step 4: Simplify right side
    278,324x = 368,012,089,600
  5. Step 5: Solve for x
    x = 368,012,089,600/278,324
  6. Step 6: Final answer
    x = 1,322,243.46

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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.