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Finding the Third Proportional to 121,554 and 252,774

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Solution

The third proportional to 121,554 and 252,774 is: 525,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,554 : 252,774 = 252,774 : x
  2. Step 2: Convert to fraction form
    121,554/252,774 = 252,774/x
  3. Step 3: Cross multiply
    121,554x = 252,774 × 252,774
  4. Step 4: Simplify right side
    121,554x = 63,894,695,076
  5. Step 5: Solve for x
    x = 63,894,695,076/121,554
  6. Step 6: Final answer
    x = 525,648.64

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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.