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Finding the Third Proportional to 121,900.88 and 161,748.75

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Solution

The third proportional to 121,900.88 and 161,748.75 is: 214,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,900.88 : 161,748.75 = 161,748.75 : x
  2. Step 2: Convert to fraction form
    121,900.88/161,748.75 = 161,748.75/x
  3. Step 3: Cross multiply
    121,900.88x = 161,748.75 × 161,748.75
  4. Step 4: Simplify right side
    121,900.88x = 26,162,658,126.56
  5. Step 5: Solve for x
    x = 26,162,658,126.56/121,900.88
  6. Step 6: Final answer
    x = 214,622.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.