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Finding the Third Proportional to 192,275.25 and 420,754.50

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Solution

The third proportional to 192,275.25 and 420,754.50 is: 920,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,275.25 : 420,754.50 = 420,754.50 : x
  2. Step 2: Convert to fraction form
    192,275.25/420,754.50 = 420,754.50/x
  3. Step 3: Cross multiply
    192,275.25x = 420,754.50 × 420,754.50
  4. Step 4: Simplify right side
    192,275.25x = 177,034,349,270.25
  5. Step 5: Solve for x
    x = 177,034,349,270.25/192,275.25
  6. Step 6: Final answer
    x = 920,733.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.