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Finding the Third Proportional to 121,524 and 252,384

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Solution

The third proportional to 121,524 and 252,384 is: 524,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,524 : 252,384 = 252,384 : x
  2. Step 2: Convert to fraction form
    121,524/252,384 = 252,384/x
  3. Step 3: Cross multiply
    121,524x = 252,384 × 252,384
  4. Step 4: Simplify right side
    121,524x = 63,697,683,456
  5. Step 5: Solve for x
    x = 63,697,683,456/121,524
  6. Step 6: Final answer
    x = 524,157.23

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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.