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Finding the Third Proportional to 3,420 and 5,053.50

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Solution

The third proportional to 3,420 and 5,053.50 is: 7,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420 : 5,053.50 = 5,053.50 : x
  2. Step 2: Convert to fraction form
    3,420/5,053.50 = 5,053.50/x
  3. Step 3: Cross multiply
    3,420x = 5,053.50 × 5,053.50
  4. Step 4: Simplify right side
    3,420x = 25,537,862.25
  5. Step 5: Solve for x
    x = 25,537,862.25/3,420
  6. Step 6: Final answer
    x = 7,467.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.