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Finding the Third Proportional to 116,800 and 257,216

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Solution

The third proportional to 116,800 and 257,216 is: 566,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,800 : 257,216 = 257,216 : x
  2. Step 2: Convert to fraction form
    116,800/257,216 = 257,216/x
  3. Step 3: Cross multiply
    116,800x = 257,216 × 257,216
  4. Step 4: Simplify right side
    116,800x = 66,160,070,656
  5. Step 5: Solve for x
    x = 66,160,070,656/116,800
  6. Step 6: Final answer
    x = 566,438.96

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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.