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Finding the Third Proportional to 17,712 and 38,178

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Solution

The third proportional to 17,712 and 38,178 is: 82,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 38,178 = 38,178 : x
  2. Step 2: Convert to fraction form
    17,712/38,178 = 38,178/x
  3. Step 3: Cross multiply
    17,712x = 38,178 × 38,178
  4. Step 4: Simplify right side
    17,712x = 1,457,559,684
  5. Step 5: Solve for x
    x = 1,457,559,684/17,712
  6. Step 6: Final answer
    x = 82,292.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.