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Finding the Third Proportional to 118,532 and 256,828

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Solution

The third proportional to 118,532 and 256,828 is: 556,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,532 : 256,828 = 256,828 : x
  2. Step 2: Convert to fraction form
    118,532/256,828 = 256,828/x
  3. Step 3: Cross multiply
    118,532x = 256,828 × 256,828
  4. Step 4: Simplify right side
    118,532x = 65,960,621,584
  5. Step 5: Solve for x
    x = 65,960,621,584/118,532
  6. Step 6: Final answer
    x = 556,479.45

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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.