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Finding the Third Proportional to 1,280,302.50 and 1,982,286

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Solution

The third proportional to 1,280,302.50 and 1,982,286 is: 3,069,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,302.50 : 1,982,286 = 1,982,286 : x
  2. Step 2: Convert to fraction form
    1,280,302.50/1,982,286 = 1,982,286/x
  3. Step 3: Cross multiply
    1,280,302.50x = 1,982,286 × 1,982,286
  4. Step 4: Simplify right side
    1,280,302.50x = 3,929,457,785,796
  5. Step 5: Solve for x
    x = 3,929,457,785,796/1,280,302.50
  6. Step 6: Final answer
    x = 3,069,163.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.