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Finding the Third Proportional to 72,052 and 107,790

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Solution

The third proportional to 72,052 and 107,790 is: 161,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,052 : 107,790 = 107,790 : x
  2. Step 2: Convert to fraction form
    72,052/107,790 = 107,790/x
  3. Step 3: Cross multiply
    72,052x = 107,790 × 107,790
  4. Step 4: Simplify right side
    72,052x = 11,618,684,100
  5. Step 5: Solve for x
    x = 11,618,684,100/72,052
  6. Step 6: Final answer
    x = 161,254.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.