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Finding the Third Proportional to 7,143 and 11,405

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Solution

The third proportional to 7,143 and 11,405 is: 18,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143 : 11,405 = 11,405 : x
  2. Step 2: Convert to fraction form
    7,143/11,405 = 11,405/x
  3. Step 3: Cross multiply
    7,143x = 11,405 × 11,405
  4. Step 4: Simplify right side
    7,143x = 130,074,025
  5. Step 5: Solve for x
    x = 130,074,025/7,143
  6. Step 6: Final answer
    x = 18,210.00

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.