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Finding the Third Proportional to 243,756 and 389,245.50

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Solution

The third proportional to 243,756 and 389,245.50 is: 621,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,756 : 389,245.50 = 389,245.50 : x
  2. Step 2: Convert to fraction form
    243,756/389,245.50 = 389,245.50/x
  3. Step 3: Cross multiply
    243,756x = 389,245.50 × 389,245.50
  4. Step 4: Simplify right side
    243,756x = 151,512,059,270.25
  5. Step 5: Solve for x
    x = 151,512,059,270.25/243,756
  6. Step 6: Final answer
    x = 621,572.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.