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Finding the Third Proportional to 38,677 and 84,821

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Solution

The third proportional to 38,677 and 84,821 is: 186,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,677 : 84,821 = 84,821 : x
  2. Step 2: Convert to fraction form
    38,677/84,821 = 84,821/x
  3. Step 3: Cross multiply
    38,677x = 84,821 × 84,821
  4. Step 4: Simplify right side
    38,677x = 7,194,602,041
  5. Step 5: Solve for x
    x = 7,194,602,041/38,677
  6. Step 6: Final answer
    x = 186,017.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.