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Finding the Third Proportional to 118,299 and 256,271

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Solution

The third proportional to 118,299 and 256,271 is: 555,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,299 : 256,271 = 256,271 : x
  2. Step 2: Convert to fraction form
    118,299/256,271 = 256,271/x
  3. Step 3: Cross multiply
    118,299x = 256,271 × 256,271
  4. Step 4: Simplify right side
    118,299x = 65,674,825,441
  5. Step 5: Solve for x
    x = 65,674,825,441/118,299
  6. Step 6: Final answer
    x = 555,159.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.