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Finding the Third Proportional to 74,742.50 and 109,236

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Solution

The third proportional to 74,742.50 and 109,236 is: 159,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,742.50 : 109,236 = 109,236 : x
  2. Step 2: Convert to fraction form
    74,742.50/109,236 = 109,236/x
  3. Step 3: Cross multiply
    74,742.50x = 109,236 × 109,236
  4. Step 4: Simplify right side
    74,742.50x = 11,932,503,696
  5. Step 5: Solve for x
    x = 11,932,503,696/74,742.50
  6. Step 6: Final answer
    x = 159,648.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.