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Finding the Third Proportional to 74,205 and 115,089.75

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Solution

The third proportional to 74,205 and 115,089.75 is: 178,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,205 : 115,089.75 = 115,089.75 : x
  2. Step 2: Convert to fraction form
    74,205/115,089.75 = 115,089.75/x
  3. Step 3: Cross multiply
    74,205x = 115,089.75 × 115,089.75
  4. Step 4: Simplify right side
    74,205x = 13,245,650,555.06
  5. Step 5: Solve for x
    x = 13,245,650,555.06/74,205
  6. Step 6: Final answer
    x = 178,500.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.