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Finding the Third Proportional to 193,218 and 420,760

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Solution

The third proportional to 193,218 and 420,760 is: 916,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,218 : 420,760 = 420,760 : x
  2. Step 2: Convert to fraction form
    193,218/420,760 = 420,760/x
  3. Step 3: Cross multiply
    193,218x = 420,760 × 420,760
  4. Step 4: Simplify right side
    193,218x = 177,038,977,600
  5. Step 5: Solve for x
    x = 177,038,977,600/193,218
  6. Step 6: Final answer
    x = 916,265.45

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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.