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Finding the Third Proportional to 177,430.82 and 389,212.91

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Solution

The third proportional to 177,430.82 and 389,212.91 is: 853,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,430.82 : 389,212.91 = 389,212.91 : x
  2. Step 2: Convert to fraction form
    177,430.82/389,212.91 = 389,212.91/x
  3. Step 3: Cross multiply
    177,430.82x = 389,212.91 × 389,212.91
  4. Step 4: Simplify right side
    177,430.82x = 151,486,689,432.29
  5. Step 5: Solve for x
    x = 151,486,689,432.29/177,430.82
  6. Step 6: Final answer
    x = 853,778.91

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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.