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Finding the Third Proportional to 15,878 and 34,780

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Solution

The third proportional to 15,878 and 34,780 is: 76,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878 : 34,780 = 34,780 : x
  2. Step 2: Convert to fraction form
    15,878/34,780 = 34,780/x
  3. Step 3: Cross multiply
    15,878x = 34,780 × 34,780
  4. Step 4: Simplify right side
    15,878x = 1,209,648,400
  5. Step 5: Solve for x
    x = 1,209,648,400/15,878
  6. Step 6: Final answer
    x = 76,183.93

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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.