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Finding the Third Proportional to 121,551 and 252,847.50

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Solution

The third proportional to 121,551 and 252,847.50 is: 525,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,551 : 252,847.50 = 252,847.50 : x
  2. Step 2: Convert to fraction form
    121,551/252,847.50 = 252,847.50/x
  3. Step 3: Cross multiply
    121,551x = 252,847.50 × 252,847.50
  4. Step 4: Simplify right side
    121,551x = 63,931,858,256.25
  5. Step 5: Solve for x
    x = 63,931,858,256.25/121,551
  6. Step 6: Final answer
    x = 525,967.36

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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.