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Finding the Third Proportional to 11,142 and 14,724

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Solution

The third proportional to 11,142 and 14,724 is: 19,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142 : 14,724 = 14,724 : x
  2. Step 2: Convert to fraction form
    11,142/14,724 = 14,724/x
  3. Step 3: Cross multiply
    11,142x = 14,724 × 14,724
  4. Step 4: Simplify right side
    11,142x = 216,796,176
  5. Step 5: Solve for x
    x = 216,796,176/11,142
  6. Step 6: Final answer
    x = 19,457.56

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.