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Finding the Third Proportional to 53,644.50 and 81,157

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Solution

The third proportional to 53,644.50 and 81,157 is: 122,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,644.50 : 81,157 = 81,157 : x
  2. Step 2: Convert to fraction form
    53,644.50/81,157 = 81,157/x
  3. Step 3: Cross multiply
    53,644.50x = 81,157 × 81,157
  4. Step 4: Simplify right side
    53,644.50x = 6,586,458,649
  5. Step 5: Solve for x
    x = 6,586,458,649/53,644.50
  6. Step 6: Final answer
    x = 122,779.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.