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Finding the Third Proportional to 278,896 and 426,720

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Solution

The third proportional to 278,896 and 426,720 is: 652,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,896 : 426,720 = 426,720 : x
  2. Step 2: Convert to fraction form
    278,896/426,720 = 426,720/x
  3. Step 3: Cross multiply
    278,896x = 426,720 × 426,720
  4. Step 4: Simplify right side
    278,896x = 182,089,958,400
  5. Step 5: Solve for x
    x = 182,089,958,400/278,896
  6. Step 6: Final answer
    x = 652,895.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.