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Finding the Third Proportional to 30,878 and 49,173

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Solution

The third proportional to 30,878 and 49,173 is: 78,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878 : 49,173 = 49,173 : x
  2. Step 2: Convert to fraction form
    30,878/49,173 = 49,173/x
  3. Step 3: Cross multiply
    30,878x = 49,173 × 49,173
  4. Step 4: Simplify right side
    30,878x = 2,417,983,929
  5. Step 5: Solve for x
    x = 2,417,983,929/30,878
  6. Step 6: Final answer
    x = 78,307.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.