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Finding the Third Proportional to 177,214.50 and 393,430.50

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Solution

The third proportional to 177,214.50 and 393,430.50 is: 873,447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,214.50 : 393,430.50 = 393,430.50 : x
  2. Step 2: Convert to fraction form
    177,214.50/393,430.50 = 393,430.50/x
  3. Step 3: Cross multiply
    177,214.50x = 393,430.50 × 393,430.50
  4. Step 4: Simplify right side
    177,214.50x = 154,787,558,330.25
  5. Step 5: Solve for x
    x = 154,787,558,330.25/177,214.50
  6. Step 6: Final answer
    x = 873,447.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.