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Finding the Third Proportional to 30,878 and 35,254

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Solution

The third proportional to 30,878 and 35,254 is: 40,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878 : 35,254 = 35,254 : x
  2. Step 2: Convert to fraction form
    30,878/35,254 = 35,254/x
  3. Step 3: Cross multiply
    30,878x = 35,254 × 35,254
  4. Step 4: Simplify right side
    30,878x = 1,242,844,516
  5. Step 5: Solve for x
    x = 1,242,844,516/30,878
  6. Step 6: Final answer
    x = 40,250.16

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.