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Finding the Third Proportional to 8,431.91 and 12,340.32

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Solution

The third proportional to 8,431.91 and 12,340.32 is: 18,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.91 : 12,340.32 = 12,340.32 : x
  2. Step 2: Convert to fraction form
    8,431.91/12,340.32 = 12,340.32/x
  3. Step 3: Cross multiply
    8,431.91x = 12,340.32 × 12,340.32
  4. Step 4: Simplify right side
    8,431.91x = 152,283,457.21
  5. Step 5: Solve for x
    x = 152,283,457.21/8,431.91
  6. Step 6: Final answer
    x = 18,060.37

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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.