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Finding the Third Proportional to 278,751.75 and 608,695.50

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Solution

The third proportional to 278,751.75 and 608,695.50 is: 1,329,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,751.75 : 608,695.50 = 608,695.50 : x
  2. Step 2: Convert to fraction form
    278,751.75/608,695.50 = 608,695.50/x
  3. Step 3: Cross multiply
    278,751.75x = 608,695.50 × 608,695.50
  4. Step 4: Simplify right side
    278,751.75x = 370,510,211,720.25
  5. Step 5: Solve for x
    x = 370,510,211,720.25/278,751.75
  6. Step 6: Final answer
    x = 1,329,176.27

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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.