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Finding the Third Proportional to 18,308 and 38,776

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Solution

The third proportional to 18,308 and 38,776 is: 82,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,308 : 38,776 = 38,776 : x
  2. Step 2: Convert to fraction form
    18,308/38,776 = 38,776/x
  3. Step 3: Cross multiply
    18,308x = 38,776 × 38,776
  4. Step 4: Simplify right side
    18,308x = 1,503,578,176
  5. Step 5: Solve for x
    x = 1,503,578,176/18,308
  6. Step 6: Final answer
    x = 82,126.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.