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Finding the Third Proportional to 1,578.75 and 3,426

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Solution

The third proportional to 1,578.75 and 3,426 is: 7,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.75 : 3,426 = 3,426 : x
  2. Step 2: Convert to fraction form
    1,578.75/3,426 = 3,426/x
  3. Step 3: Cross multiply
    1,578.75x = 3,426 × 3,426
  4. Step 4: Simplify right side
    1,578.75x = 11,737,476
  5. Step 5: Solve for x
    x = 11,737,476/1,578.75
  6. Step 6: Final answer
    x = 7,434.66

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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.