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Finding the Third Proportional to 114,128 and 235,520

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Solution

The third proportional to 114,128 and 235,520 is: 486,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,128 : 235,520 = 235,520 : x
  2. Step 2: Convert to fraction form
    114,128/235,520 = 235,520/x
  3. Step 3: Cross multiply
    114,128x = 235,520 × 235,520
  4. Step 4: Simplify right side
    114,128x = 55,469,670,400
  5. Step 5: Solve for x
    x = 55,469,670,400/114,128
  6. Step 6: Final answer
    x = 486,030.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.