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Finding the Third Proportional to 12,840 and 19,173.50

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Solution

The third proportional to 12,840 and 19,173.50 is: 28,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840 : 19,173.50 = 19,173.50 : x
  2. Step 2: Convert to fraction form
    12,840/19,173.50 = 19,173.50/x
  3. Step 3: Cross multiply
    12,840x = 19,173.50 × 19,173.50
  4. Step 4: Simplify right side
    12,840x = 367,623,102.25
  5. Step 5: Solve for x
    x = 367,623,102.25/12,840
  6. Step 6: Final answer
    x = 28,631.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.