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Finding the Third Proportional to 76,322.25 and 171,409.50

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Solution

The third proportional to 76,322.25 and 171,409.50 is: 384,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,322.25 : 171,409.50 = 171,409.50 : x
  2. Step 2: Convert to fraction form
    76,322.25/171,409.50 = 171,409.50/x
  3. Step 3: Cross multiply
    76,322.25x = 171,409.50 × 171,409.50
  4. Step 4: Simplify right side
    76,322.25x = 29,381,216,690.25
  5. Step 5: Solve for x
    x = 29,381,216,690.25/76,322.25
  6. Step 6: Final answer
    x = 384,962.66

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.