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Finding the Third Proportional to 49,450.50 and 92,750.06

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Solution

The third proportional to 49,450.50 and 92,750.06 is: 173,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,450.50 : 92,750.06 = 92,750.06 : x
  2. Step 2: Convert to fraction form
    49,450.50/92,750.06 = 92,750.06/x
  3. Step 3: Cross multiply
    49,450.50x = 92,750.06 × 92,750.06
  4. Step 4: Simplify right side
    49,450.50x = 8,602,574,093.75
  5. Step 5: Solve for x
    x = 8,602,574,093.75/49,450.50
  6. Step 6: Final answer
    x = 173,963.34

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.