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Finding the Third Proportional to 12,909 and 18,985.50

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Solution

The third proportional to 12,909 and 18,985.50 is: 27,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909 : 18,985.50 = 18,985.50 : x
  2. Step 2: Convert to fraction form
    12,909/18,985.50 = 18,985.50/x
  3. Step 3: Cross multiply
    12,909x = 18,985.50 × 18,985.50
  4. Step 4: Simplify right side
    12,909x = 360,449,210.25
  5. Step 5: Solve for x
    x = 360,449,210.25/12,909
  6. Step 6: Final answer
    x = 27,922.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.