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Finding the Third Proportional to 114,990 and 252,120

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Solution

The third proportional to 114,990 and 252,120 is: 552,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,990 : 252,120 = 252,120 : x
  2. Step 2: Convert to fraction form
    114,990/252,120 = 252,120/x
  3. Step 3: Cross multiply
    114,990x = 252,120 × 252,120
  4. Step 4: Simplify right side
    114,990x = 63,564,494,400
  5. Step 5: Solve for x
    x = 63,564,494,400/114,990
  6. Step 6: Final answer
    x = 552,782.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.