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Finding the Third Proportional to 254,976 and 560,284

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Solution

The third proportional to 254,976 and 560,284 is: 1,231,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,976 : 560,284 = 560,284 : x
  2. Step 2: Convert to fraction form
    254,976/560,284 = 560,284/x
  3. Step 3: Cross multiply
    254,976x = 560,284 × 560,284
  4. Step 4: Simplify right side
    254,976x = 313,918,160,656
  5. Step 5: Solve for x
    x = 313,918,160,656/254,976
  6. Step 6: Final answer
    x = 1,231,167.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.