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Finding the Third Proportional to 256,326 and 388,312

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Solution

The third proportional to 256,326 and 388,312 is: 588,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,326 : 388,312 = 388,312 : x
  2. Step 2: Convert to fraction form
    256,326/388,312 = 388,312/x
  3. Step 3: Cross multiply
    256,326x = 388,312 × 388,312
  4. Step 4: Simplify right side
    256,326x = 150,786,209,344
  5. Step 5: Solve for x
    x = 150,786,209,344/256,326
  6. Step 6: Final answer
    x = 588,259.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.