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Finding the Third Proportional to 57,445.50 and 121,515

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Solution

The third proportional to 57,445.50 and 121,515 is: 257,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,445.50 : 121,515 = 121,515 : x
  2. Step 2: Convert to fraction form
    57,445.50/121,515 = 121,515/x
  3. Step 3: Cross multiply
    57,445.50x = 121,515 × 121,515
  4. Step 4: Simplify right side
    57,445.50x = 14,765,895,225
  5. Step 5: Solve for x
    x = 14,765,895,225/57,445.50
  6. Step 6: Final answer
    x = 257,041.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.