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Finding the Third Proportional to 389,832.75 and 472,938.75

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Solution

The third proportional to 389,832.75 and 472,938.75 is: 573,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,832.75 : 472,938.75 = 472,938.75 : x
  2. Step 2: Convert to fraction form
    389,832.75/472,938.75 = 472,938.75/x
  3. Step 3: Cross multiply
    389,832.75x = 472,938.75 × 472,938.75
  4. Step 4: Simplify right side
    389,832.75x = 223,671,061,251.56
  5. Step 5: Solve for x
    x = 223,671,061,251.56/389,832.75
  6. Step 6: Final answer
    x = 573,761.60

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.