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Finding the Third Proportional to 12,477.75 and 18,351.50

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Solution

The third proportional to 12,477.75 and 18,351.50 is: 26,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.75 : 18,351.50 = 18,351.50 : x
  2. Step 2: Convert to fraction form
    12,477.75/18,351.50 = 18,351.50/x
  3. Step 3: Cross multiply
    12,477.75x = 18,351.50 × 18,351.50
  4. Step 4: Simplify right side
    12,477.75x = 336,777,552.25
  5. Step 5: Solve for x
    x = 336,777,552.25/12,477.75
  6. Step 6: Final answer
    x = 26,990.25

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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.