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Finding the Third Proportional to 15,769 and 34,818

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Solution

The third proportional to 15,769 and 34,818 is: 76,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769 : 34,818 = 34,818 : x
  2. Step 2: Convert to fraction form
    15,769/34,818 = 34,818/x
  3. Step 3: Cross multiply
    15,769x = 34,818 × 34,818
  4. Step 4: Simplify right side
    15,769x = 1,212,293,124
  5. Step 5: Solve for x
    x = 1,212,293,124/15,769
  6. Step 6: Final answer
    x = 76,878.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.