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Finding the Third Proportional to 178,503.75 and 389,559.38

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Solution

The third proportional to 178,503.75 and 389,559.38 is: 850,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,503.75 : 389,559.38 = 389,559.38 : x
  2. Step 2: Convert to fraction form
    178,503.75/389,559.38 = 389,559.38/x
  3. Step 3: Cross multiply
    178,503.75x = 389,559.38 × 389,559.38
  4. Step 4: Simplify right side
    178,503.75x = 151,756,506,650.39
  5. Step 5: Solve for x
    x = 151,756,506,650.39/178,503.75
  6. Step 6: Final answer
    x = 850,158.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.