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Finding the Third Proportional to 51,433 and 112,477.75

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Solution

The third proportional to 51,433 and 112,477.75 is: 245,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,433 : 112,477.75 = 112,477.75 : x
  2. Step 2: Convert to fraction form
    51,433/112,477.75 = 112,477.75/x
  3. Step 3: Cross multiply
    51,433x = 112,477.75 × 112,477.75
  4. Step 4: Simplify right side
    51,433x = 12,651,244,245.06
  5. Step 5: Solve for x
    x = 12,651,244,245.06/51,433
  6. Step 6: Final answer
    x = 245,975.23

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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.