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Finding the Third Proportional to 280,813.50 and 605,910

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Solution

The third proportional to 280,813.50 and 605,910 is: 1,307,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,813.50 : 605,910 = 605,910 : x
  2. Step 2: Convert to fraction form
    280,813.50/605,910 = 605,910/x
  3. Step 3: Cross multiply
    280,813.50x = 605,910 × 605,910
  4. Step 4: Simplify right side
    280,813.50x = 367,126,928,100
  5. Step 5: Solve for x
    x = 367,126,928,100/280,813.50
  6. Step 6: Final answer
    x = 1,307,369.23

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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.