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Finding the Third Proportional to 8,130.77 and 12,196.16

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Solution

The third proportional to 8,130.77 and 12,196.16 is: 18,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.77 : 12,196.16 = 12,196.16 : x
  2. Step 2: Convert to fraction form
    8,130.77/12,196.16 = 12,196.16/x
  3. Step 3: Cross multiply
    8,130.77x = 12,196.16 × 12,196.16
  4. Step 4: Simplify right side
    8,130.77x = 148,746,215.36
  5. Step 5: Solve for x
    x = 148,746,215.36/8,130.77
  6. Step 6: Final answer
    x = 18,294.23

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