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Finding the Third Proportional to 177,440 and 389,230

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Solution

The third proportional to 177,440 and 389,230 is: 853,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,440 : 389,230 = 389,230 : x
  2. Step 2: Convert to fraction form
    177,440/389,230 = 389,230/x
  3. Step 3: Cross multiply
    177,440x = 389,230 × 389,230
  4. Step 4: Simplify right side
    177,440x = 151,499,992,900
  5. Step 5: Solve for x
    x = 151,499,992,900/177,440
  6. Step 6: Final answer
    x = 853,809.70

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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.