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Finding the Third Proportional to 109,419 and 235,578

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Solution

The third proportional to 109,419 and 235,578 is: 507,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,419 : 235,578 = 235,578 : x
  2. Step 2: Convert to fraction form
    109,419/235,578 = 235,578/x
  3. Step 3: Cross multiply
    109,419x = 235,578 × 235,578
  4. Step 4: Simplify right side
    109,419x = 55,496,994,084
  5. Step 5: Solve for x
    x = 55,496,994,084/109,419
  6. Step 6: Final answer
    x = 507,197.05

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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.