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Finding the Third Proportional to 109,409 and 235,558

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Solution

The third proportional to 109,409 and 235,558 is: 507,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409 : 235,558 = 235,558 : x
  2. Step 2: Convert to fraction form
    109,409/235,558 = 235,558/x
  3. Step 3: Cross multiply
    109,409x = 235,558 × 235,558
  4. Step 4: Simplify right side
    109,409x = 55,487,571,364
  5. Step 5: Solve for x
    x = 55,487,571,364/109,409
  6. Step 6: Final answer
    x = 507,157.28

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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.