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Finding the Third Proportional to 121,580 and 252,824

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Solution

The third proportional to 121,580 and 252,824 is: 525,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,580 : 252,824 = 252,824 : x
  2. Step 2: Convert to fraction form
    121,580/252,824 = 252,824/x
  3. Step 3: Cross multiply
    121,580x = 252,824 × 252,824
  4. Step 4: Simplify right side
    121,580x = 63,919,974,976
  5. Step 5: Solve for x
    x = 63,919,974,976/121,580
  6. Step 6: Final answer
    x = 525,744.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.