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Finding the Third Proportional to 12,483 and 18,980.25

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Solution

The third proportional to 12,483 and 18,980.25 is: 28,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483 : 18,980.25 = 18,980.25 : x
  2. Step 2: Convert to fraction form
    12,483/18,980.25 = 18,980.25/x
  3. Step 3: Cross multiply
    12,483x = 18,980.25 × 18,980.25
  4. Step 4: Simplify right side
    12,483x = 360,249,890.06
  5. Step 5: Solve for x
    x = 360,249,890.06/12,483
  6. Step 6: Final answer
    x = 28,859.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.