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Finding the Third Proportional to 13,776 and 17,808

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Solution

The third proportional to 13,776 and 17,808 is: 23,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776 : 17,808 = 17,808 : x
  2. Step 2: Convert to fraction form
    13,776/17,808 = 17,808/x
  3. Step 3: Cross multiply
    13,776x = 17,808 × 17,808
  4. Step 4: Simplify right side
    13,776x = 317,124,864
  5. Step 5: Solve for x
    x = 317,124,864/13,776
  6. Step 6: Final answer
    x = 23,020.10

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.