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Finding the Third Proportional to 12,106.50 and 18,705

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Solution

The third proportional to 12,106.50 and 18,705 is: 28,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.50 : 18,705 = 18,705 : x
  2. Step 2: Convert to fraction form
    12,106.50/18,705 = 18,705/x
  3. Step 3: Cross multiply
    12,106.50x = 18,705 × 18,705
  4. Step 4: Simplify right side
    12,106.50x = 349,877,025
  5. Step 5: Solve for x
    x = 349,877,025/12,106.50
  6. Step 6: Final answer
    x = 28,899.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.