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Finding the Third Proportional to 256,790.25 and 383,767.88

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Solution

The third proportional to 256,790.25 and 383,767.88 is: 573,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,790.25 : 383,767.88 = 383,767.88 : x
  2. Step 2: Convert to fraction form
    256,790.25/383,767.88 = 383,767.88/x
  3. Step 3: Cross multiply
    256,790.25x = 383,767.88 × 383,767.88
  4. Step 4: Simplify right side
    256,790.25x = 147,277,781,882.02
  5. Step 5: Solve for x
    x = 147,277,781,882.02/256,790.25
  6. Step 6: Final answer
    x = 573,533.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.