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Finding the Third Proportional to 128,422.50 and 170,402.25

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Solution

The third proportional to 128,422.50 and 170,402.25 is: 226,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,422.50 : 170,402.25 = 170,402.25 : x
  2. Step 2: Convert to fraction form
    128,422.50/170,402.25 = 170,402.25/x
  3. Step 3: Cross multiply
    128,422.50x = 170,402.25 × 170,402.25
  4. Step 4: Simplify right side
    128,422.50x = 29,036,926,805.06
  5. Step 5: Solve for x
    x = 29,036,926,805.06/128,422.50
  6. Step 6: Final answer
    x = 226,104.67

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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.