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Finding the Third Proportional to 74,850 and 113,050.50

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Solution

The third proportional to 74,850 and 113,050.50 is: 170,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,850 : 113,050.50 = 113,050.50 : x
  2. Step 2: Convert to fraction form
    74,850/113,050.50 = 113,050.50/x
  3. Step 3: Cross multiply
    74,850x = 113,050.50 × 113,050.50
  4. Step 4: Simplify right side
    74,850x = 12,780,415,550.25
  5. Step 5: Solve for x
    x = 12,780,415,550.25/74,850
  6. Step 6: Final answer
    x = 170,747.03

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