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Finding the Third Proportional to 8,520.19 and 12,506.91

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Solution

The third proportional to 8,520.19 and 12,506.91 is: 18,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.19 : 12,506.91 = 12,506.91 : x
  2. Step 2: Convert to fraction form
    8,520.19/12,506.91 = 12,506.91/x
  3. Step 3: Cross multiply
    8,520.19x = 12,506.91 × 12,506.91
  4. Step 4: Simplify right side
    8,520.19x = 156,422,703.95
  5. Step 5: Solve for x
    x = 156,422,703.95/8,520.19
  6. Step 6: Final answer
    x = 18,359.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.