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Finding the Third Proportional to 13,773 and 23,724

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Solution

The third proportional to 13,773 and 23,724 is: 40,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773 : 23,724 = 23,724 : x
  2. Step 2: Convert to fraction form
    13,773/23,724 = 23,724/x
  3. Step 3: Cross multiply
    13,773x = 23,724 × 23,724
  4. Step 4: Simplify right side
    13,773x = 562,828,176
  5. Step 5: Solve for x
    x = 562,828,176/13,773
  6. Step 6: Final answer
    x = 40,864.60

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.