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Finding the Third Proportional to 389,787.75 and 583,092.56

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Solution

The third proportional to 389,787.75 and 583,092.56 is: 872,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,787.75 : 583,092.56 = 583,092.56 : x
  2. Step 2: Convert to fraction form
    389,787.75/583,092.56 = 583,092.56/x
  3. Step 3: Cross multiply
    389,787.75x = 583,092.56 × 583,092.56
  4. Step 4: Simplify right side
    389,787.75x = 339,996,936,442.82
  5. Step 5: Solve for x
    x = 339,996,936,442.82/389,787.75
  6. Step 6: Final answer
    x = 872,261.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.