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Finding the Third Proportional to 117,878 and 254,581

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Solution

The third proportional to 117,878 and 254,581 is: 549,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,878 : 254,581 = 254,581 : x
  2. Step 2: Convert to fraction form
    117,878/254,581 = 254,581/x
  3. Step 3: Cross multiply
    117,878x = 254,581 × 254,581
  4. Step 4: Simplify right side
    117,878x = 64,811,485,561
  5. Step 5: Solve for x
    x = 64,811,485,561/117,878
  6. Step 6: Final answer
    x = 549,818.33

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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.