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Finding the Third Proportional to 280,811.81 and 605,910.38

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Solution

The third proportional to 280,811.81 and 605,910.38 is: 1,307,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,811.81 : 605,910.38 = 605,910.38 : x
  2. Step 2: Convert to fraction form
    280,811.81/605,910.38 = 605,910.38/x
  3. Step 3: Cross multiply
    280,811.81x = 605,910.38 × 605,910.38
  4. Step 4: Simplify right side
    280,811.81x = 367,127,382,532.64
  5. Step 5: Solve for x
    x = 367,127,382,532.64/280,811.81
  6. Step 6: Final answer
    x = 1,307,378.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.