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Finding the Third Proportional to 193,097 and 420,520

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Solution

The third proportional to 193,097 and 420,520 is: 915,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,097 : 420,520 = 420,520 : x
  2. Step 2: Convert to fraction form
    193,097/420,520 = 420,520/x
  3. Step 3: Cross multiply
    193,097x = 420,520 × 420,520
  4. Step 4: Simplify right side
    193,097x = 176,837,070,400
  5. Step 5: Solve for x
    x = 176,837,070,400/193,097
  6. Step 6: Final answer
    x = 915,793.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.