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Finding the Third Proportional to 118,422 and 254,412

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Solution

The third proportional to 118,422 and 254,412 is: 546,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,422 : 254,412 = 254,412 : x
  2. Step 2: Convert to fraction form
    118,422/254,412 = 254,412/x
  3. Step 3: Cross multiply
    118,422x = 254,412 × 254,412
  4. Step 4: Simplify right side
    118,422x = 64,725,465,744
  5. Step 5: Solve for x
    x = 64,725,465,744/118,422
  6. Step 6: Final answer
    x = 546,566.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.