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Finding the Third Proportional to 256,356 and 388,358

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Solution

The third proportional to 256,356 and 388,358 is: 588,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,356 : 388,358 = 388,358 : x
  2. Step 2: Convert to fraction form
    256,356/388,358 = 388,358/x
  3. Step 3: Cross multiply
    256,356x = 388,358 × 388,358
  4. Step 4: Simplify right side
    256,356x = 150,821,936,164
  5. Step 5: Solve for x
    x = 150,821,936,164/256,356
  6. Step 6: Final answer
    x = 588,330.04

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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.