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Finding the Third Proportional to 143,164 and 323,445

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Solution

The third proportional to 143,164 and 323,445 is: 730,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,164 : 323,445 = 323,445 : x
  2. Step 2: Convert to fraction form
    143,164/323,445 = 323,445/x
  3. Step 3: Cross multiply
    143,164x = 323,445 × 323,445
  4. Step 4: Simplify right side
    143,164x = 104,616,668,025
  5. Step 5: Solve for x
    x = 104,616,668,025/143,164
  6. Step 6: Final answer
    x = 730,747.03

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.