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Finding the Third Proportional to 280,748.25 and 608,787

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Solution

The third proportional to 280,748.25 and 608,787 is: 1,320,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,748.25 : 608,787 = 608,787 : x
  2. Step 2: Convert to fraction form
    280,748.25/608,787 = 608,787/x
  3. Step 3: Cross multiply
    280,748.25x = 608,787 × 608,787
  4. Step 4: Simplify right side
    280,748.25x = 370,621,611,369
  5. Step 5: Solve for x
    x = 370,621,611,369/280,748.25
  6. Step 6: Final answer
    x = 1,320,120.82

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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.