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Finding the Third Proportional to 256,206 and 385,128

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Solution

The third proportional to 256,206 and 385,128 is: 578,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,206 : 385,128 = 385,128 : x
  2. Step 2: Convert to fraction form
    256,206/385,128 = 385,128/x
  3. Step 3: Cross multiply
    256,206x = 385,128 × 385,128
  4. Step 4: Simplify right side
    256,206x = 148,323,576,384
  5. Step 5: Solve for x
    x = 148,323,576,384/256,206
  6. Step 6: Final answer
    x = 578,923.12

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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.