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Finding the Third Proportional to 118,383 and 253,581

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Solution

The third proportional to 118,383 and 253,581 is: 543,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,383 : 253,581 = 253,581 : x
  2. Step 2: Convert to fraction form
    118,383/253,581 = 253,581/x
  3. Step 3: Cross multiply
    118,383x = 253,581 × 253,581
  4. Step 4: Simplify right side
    118,383x = 64,303,323,561
  5. Step 5: Solve for x
    x = 64,303,323,561/118,383
  6. Step 6: Final answer
    x = 543,180.39

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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.