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Finding the Third Proportional to 280,804.50 and 605,894.63

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Solution

The third proportional to 280,804.50 and 605,894.63 is: 1,307,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,804.50 : 605,894.63 = 605,894.63 : x
  2. Step 2: Convert to fraction form
    280,804.50/605,894.63 = 605,894.63/x
  3. Step 3: Cross multiply
    280,804.50x = 605,894.63 × 605,894.63
  4. Step 4: Simplify right side
    280,804.50x = 367,108,296,603.89
  5. Step 5: Solve for x
    x = 367,108,296,603.89/280,804.50
  6. Step 6: Final answer
    x = 1,307,344.78

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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.