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Finding the Third Proportional to 117,921 and 254,614

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Solution

The third proportional to 117,921 and 254,614 is: 549,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,921 : 254,614 = 254,614 : x
  2. Step 2: Convert to fraction form
    117,921/254,614 = 254,614/x
  3. Step 3: Cross multiply
    117,921x = 254,614 × 254,614
  4. Step 4: Simplify right side
    117,921x = 64,828,288,996
  5. Step 5: Solve for x
    x = 64,828,288,996/117,921
  6. Step 6: Final answer
    x = 549,760.34

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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.