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Finding the Third Proportional to 256,360 and 388,364

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Solution

The third proportional to 256,360 and 388,364 is: 588,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,360 : 388,364 = 388,364 : x
  2. Step 2: Convert to fraction form
    256,360/388,364 = 388,364/x
  3. Step 3: Cross multiply
    256,360x = 388,364 × 388,364
  4. Step 4: Simplify right side
    256,360x = 150,826,596,496
  5. Step 5: Solve for x
    x = 150,826,596,496/256,360
  6. Step 6: Final answer
    x = 588,339.04

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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.