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Finding the Third Proportional to 153,550 and 323,906

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Solution

The third proportional to 153,550 and 323,906 is: 683,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,550 : 323,906 = 323,906 : x
  2. Step 2: Convert to fraction form
    153,550/323,906 = 323,906/x
  3. Step 3: Cross multiply
    153,550x = 323,906 × 323,906
  4. Step 4: Simplify right side
    153,550x = 104,915,096,836
  5. Step 5: Solve for x
    x = 104,915,096,836/153,550
  6. Step 6: Final answer
    x = 683,263.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.