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Finding the Third Proportional to 121,576 and 252,816

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Solution

The third proportional to 121,576 and 252,816 is: 525,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,576 : 252,816 = 252,816 : x
  2. Step 2: Convert to fraction form
    121,576/252,816 = 252,816/x
  3. Step 3: Cross multiply
    121,576x = 252,816 × 252,816
  4. Step 4: Simplify right side
    121,576x = 63,915,929,856
  5. Step 5: Solve for x
    x = 63,915,929,856/121,576
  6. Step 6: Final answer
    x = 525,728.19

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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.