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Finding the Third Proportional to 329,406.75 and 719,239.50

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Solution

The third proportional to 329,406.75 and 719,239.50 is: 1,570,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,406.75 : 719,239.50 = 719,239.50 : x
  2. Step 2: Convert to fraction form
    329,406.75/719,239.50 = 719,239.50/x
  3. Step 3: Cross multiply
    329,406.75x = 719,239.50 × 719,239.50
  4. Step 4: Simplify right side
    329,406.75x = 517,305,458,360.25
  5. Step 5: Solve for x
    x = 517,305,458,360.25/329,406.75
  6. Step 6: Final answer
    x = 1,570,415.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.