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Finding the Third Proportional to 122,431.50 and 173,299.50

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Solution

The third proportional to 122,431.50 and 173,299.50 is: 245,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,431.50 : 173,299.50 = 173,299.50 : x
  2. Step 2: Convert to fraction form
    122,431.50/173,299.50 = 173,299.50/x
  3. Step 3: Cross multiply
    122,431.50x = 173,299.50 × 173,299.50
  4. Step 4: Simplify right side
    122,431.50x = 30,032,716,700.25
  5. Step 5: Solve for x
    x = 30,032,716,700.25/122,431.50
  6. Step 6: Final answer
    x = 245,302.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.