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Finding the Third Proportional to 256,128.75 and 385,018.31

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Solution

The third proportional to 256,128.75 and 385,018.31 is: 578,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,128.75 : 385,018.31 = 385,018.31 : x
  2. Step 2: Convert to fraction form
    256,128.75/385,018.31 = 385,018.31/x
  3. Step 3: Cross multiply
    256,128.75x = 385,018.31 × 385,018.31
  4. Step 4: Simplify right side
    256,128.75x = 148,239,100,960.35
  5. Step 5: Solve for x
    x = 148,239,100,960.35/256,128.75
  6. Step 6: Final answer
    x = 578,767.91

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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.