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Finding the Third Proportional to 116,929 and 257,186

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Solution

The third proportional to 116,929 and 257,186 is: 565,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,929 : 257,186 = 257,186 : x
  2. Step 2: Convert to fraction form
    116,929/257,186 = 257,186/x
  3. Step 3: Cross multiply
    116,929x = 257,186 × 257,186
  4. Step 4: Simplify right side
    116,929x = 66,144,638,596
  5. Step 5: Solve for x
    x = 66,144,638,596/116,929
  6. Step 6: Final answer
    x = 565,682.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.