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Finding the Third Proportional to 30,878 and 66,556

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Solution

The third proportional to 30,878 and 66,556 is: 143,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878 : 66,556 = 66,556 : x
  2. Step 2: Convert to fraction form
    30,878/66,556 = 66,556/x
  3. Step 3: Cross multiply
    30,878x = 66,556 × 66,556
  4. Step 4: Simplify right side
    30,878x = 4,429,701,136
  5. Step 5: Solve for x
    x = 4,429,701,136/30,878
  6. Step 6: Final answer
    x = 143,458.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.