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Finding the Third Proportional to 79,323.75 and 178,621.88

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Solution

The third proportional to 79,323.75 and 178,621.88 is: 402,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,323.75 : 178,621.88 = 178,621.88 : x
  2. Step 2: Convert to fraction form
    79,323.75/178,621.88 = 178,621.88/x
  3. Step 3: Cross multiply
    79,323.75x = 178,621.88 × 178,621.88
  4. Step 4: Simplify right side
    79,323.75x = 31,905,774,228.52
  5. Step 5: Solve for x
    x = 31,905,774,228.52/79,323.75
  6. Step 6: Final answer
    x = 402,222.21

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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.