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Finding the Third Proportional to 8,486.37 and 12,715.14

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Solution

The third proportional to 8,486.37 and 12,715.14 is: 19,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.37 : 12,715.14 = 12,715.14 : x
  2. Step 2: Convert to fraction form
    8,486.37/12,715.14 = 12,715.14/x
  3. Step 3: Cross multiply
    8,486.37x = 12,715.14 × 12,715.14
  4. Step 4: Simplify right side
    8,486.37x = 161,674,813.53
  5. Step 5: Solve for x
    x = 161,674,813.53/8,486.37
  6. Step 6: Final answer
    x = 19,051.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.