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Finding the Third Proportional to 8,685 and 12,703.50

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Solution

The third proportional to 8,685 and 12,703.50 is: 18,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685 : 12,703.50 = 12,703.50 : x
  2. Step 2: Convert to fraction form
    8,685/12,703.50 = 12,703.50/x
  3. Step 3: Cross multiply
    8,685x = 12,703.50 × 12,703.50
  4. Step 4: Simplify right side
    8,685x = 161,378,912.25
  5. Step 5: Solve for x
    x = 161,378,912.25/8,685
  6. Step 6: Final answer
    x = 18,581.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.