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Finding the Third Proportional to 280,734.75 and 608,763.75

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Solution

The third proportional to 280,734.75 and 608,763.75 is: 1,320,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,734.75 : 608,763.75 = 608,763.75 : x
  2. Step 2: Convert to fraction form
    280,734.75/608,763.75 = 608,763.75/x
  3. Step 3: Cross multiply
    280,734.75x = 608,763.75 × 608,763.75
  4. Step 4: Simplify right side
    280,734.75x = 370,593,303,314.06
  5. Step 5: Solve for x
    x = 370,593,303,314.06/280,734.75
  6. Step 6: Final answer
    x = 1,320,083.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.