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Finding the Third Proportional to 278,106 and 417,168

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Solution

The third proportional to 278,106 and 417,168 is: 625,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,106 : 417,168 = 417,168 : x
  2. Step 2: Convert to fraction form
    278,106/417,168 = 417,168/x
  3. Step 3: Cross multiply
    278,106x = 417,168 × 417,168
  4. Step 4: Simplify right side
    278,106x = 174,029,140,224
  5. Step 5: Solve for x
    x = 174,029,140,224/278,106
  6. Step 6: Final answer
    x = 625,765.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.