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Finding the Third Proportional to 117,857 and 254,389

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Solution

The third proportional to 117,857 and 254,389 is: 549,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,857 : 254,389 = 254,389 : x
  2. Step 2: Convert to fraction form
    117,857/254,389 = 254,389/x
  3. Step 3: Cross multiply
    117,857x = 254,389 × 254,389
  4. Step 4: Simplify right side
    117,857x = 64,713,763,321
  5. Step 5: Solve for x
    x = 64,713,763,321/117,857
  6. Step 6: Final answer
    x = 549,087.14

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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.