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Finding the Third Proportional to 278,321.63 and 416,748.38

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Solution

The third proportional to 278,321.63 and 416,748.38 is: 624,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,321.63 : 416,748.38 = 416,748.38 : x
  2. Step 2: Convert to fraction form
    278,321.63/416,748.38 = 416,748.38/x
  3. Step 3: Cross multiply
    278,321.63x = 416,748.38 × 416,748.38
  4. Step 4: Simplify right side
    278,321.63x = 173,679,208,065.14
  5. Step 5: Solve for x
    x = 173,679,208,065.14/278,321.63
  6. Step 6: Final answer
    x = 624,023.40

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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.