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Finding the Third Proportional to 109,437 and 235,605

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Solution

The third proportional to 109,437 and 235,605 is: 507,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,437 : 235,605 = 235,605 : x
  2. Step 2: Convert to fraction form
    109,437/235,605 = 235,605/x
  3. Step 3: Cross multiply
    109,437x = 235,605 × 235,605
  4. Step 4: Simplify right side
    109,437x = 55,509,716,025
  5. Step 5: Solve for x
    x = 55,509,716,025/109,437
  6. Step 6: Final answer
    x = 507,229.88

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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.