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Finding the Third Proportional to 315,175.50 and 728,889.75

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Solution

The third proportional to 315,175.50 and 728,889.75 is: 1,685,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,175.50 : 728,889.75 = 728,889.75 : x
  2. Step 2: Convert to fraction form
    315,175.50/728,889.75 = 728,889.75/x
  3. Step 3: Cross multiply
    315,175.50x = 728,889.75 × 728,889.75
  4. Step 4: Simplify right side
    315,175.50x = 531,280,267,655.06
  5. Step 5: Solve for x
    x = 531,280,267,655.06/315,175.50
  6. Step 6: Final answer
    x = 1,685,664.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.