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Finding the Third Proportional to 422,743.50 and 745,060.50

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Solution

The third proportional to 422,743.50 and 745,060.50 is: 1,313,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,743.50 : 745,060.50 = 745,060.50 : x
  2. Step 2: Convert to fraction form
    422,743.50/745,060.50 = 745,060.50/x
  3. Step 3: Cross multiply
    422,743.50x = 745,060.50 × 745,060.50
  4. Step 4: Simplify right side
    422,743.50x = 555,115,148,660.25
  5. Step 5: Solve for x
    x = 555,115,148,660.25/422,743.50
  6. Step 6: Final answer
    x = 1,313,125.21

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.