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Finding the Third Proportional to 7,817.81 and 12,122.81

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Solution

The third proportional to 7,817.81 and 12,122.81 is: 18,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.81 : 12,122.81 = 12,122.81 : x
  2. Step 2: Convert to fraction form
    7,817.81/12,122.81 = 12,122.81/x
  3. Step 3: Cross multiply
    7,817.81x = 12,122.81 × 12,122.81
  4. Step 4: Simplify right side
    7,817.81x = 146,962,582.91
  5. Step 5: Solve for x
    x = 146,962,582.91/7,817.81
  6. Step 6: Final answer
    x = 18,798.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.