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Finding the Third Proportional to 109,405 and 235,442

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Solution

The third proportional to 109,405 and 235,442 is: 506,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,405 : 235,442 = 235,442 : x
  2. Step 2: Convert to fraction form
    109,405/235,442 = 235,442/x
  3. Step 3: Cross multiply
    109,405x = 235,442 × 235,442
  4. Step 4: Simplify right side
    109,405x = 55,432,935,364
  5. Step 5: Solve for x
    x = 55,432,935,364/109,405
  6. Step 6: Final answer
    x = 506,676.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.