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Finding the Third Proportional to 139,056.75 and 329,416.88

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Solution

The third proportional to 139,056.75 and 329,416.88 is: 780,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,056.75 : 329,416.88 = 329,416.88 : x
  2. Step 2: Convert to fraction form
    139,056.75/329,416.88 = 329,416.88/x
  3. Step 3: Cross multiply
    139,056.75x = 329,416.88 × 329,416.88
  4. Step 4: Simplify right side
    139,056.75x = 108,515,477,534.77
  5. Step 5: Solve for x
    x = 108,515,477,534.77/139,056.75
  6. Step 6: Final answer
    x = 780,368.29

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.