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Finding the Third Proportional to 256,592.25 and 377,021.25

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Solution

The third proportional to 256,592.25 and 377,021.25 is: 553,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,592.25 : 377,021.25 = 377,021.25 : x
  2. Step 2: Convert to fraction form
    256,592.25/377,021.25 = 377,021.25/x
  3. Step 3: Cross multiply
    256,592.25x = 377,021.25 × 377,021.25
  4. Step 4: Simplify right side
    256,592.25x = 142,145,022,951.56
  5. Step 5: Solve for x
    x = 142,145,022,951.56/256,592.25
  6. Step 6: Final answer
    x = 553,972.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.