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Finding the Third Proportional to 118,397 and 253,642

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Solution

The third proportional to 118,397 and 253,642 is: 543,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,397 : 253,642 = 253,642 : x
  2. Step 2: Convert to fraction form
    118,397/253,642 = 253,642/x
  3. Step 3: Cross multiply
    118,397x = 253,642 × 253,642
  4. Step 4: Simplify right side
    118,397x = 64,334,264,164
  5. Step 5: Solve for x
    x = 64,334,264,164/118,397
  6. Step 6: Final answer
    x = 543,377.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.