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Finding the Third Proportional to 57,412.50 and 121,653

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Solution

The third proportional to 57,412.50 and 121,653 is: 257,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412.50 : 121,653 = 121,653 : x
  2. Step 2: Convert to fraction form
    57,412.50/121,653 = 121,653/x
  3. Step 3: Cross multiply
    57,412.50x = 121,653 × 121,653
  4. Step 4: Simplify right side
    57,412.50x = 14,799,452,409
  5. Step 5: Solve for x
    x = 14,799,452,409/57,412.50
  6. Step 6: Final answer
    x = 257,774.05

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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.