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Finding the Third Proportional to 78,783.50 and 113,254

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Solution

The third proportional to 78,783.50 and 113,254 is: 162,806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,783.50 : 113,254 = 113,254 : x
  2. Step 2: Convert to fraction form
    78,783.50/113,254 = 113,254/x
  3. Step 3: Cross multiply
    78,783.50x = 113,254 × 113,254
  4. Step 4: Simplify right side
    78,783.50x = 12,826,468,516
  5. Step 5: Solve for x
    x = 12,826,468,516/78,783.50
  6. Step 6: Final answer
    x = 162,806.53

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.