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Finding the Third Proportional to 312,104 and 408,066

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Solution

The third proportional to 312,104 and 408,066 is: 533,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,104 : 408,066 = 408,066 : x
  2. Step 2: Convert to fraction form
    312,104/408,066 = 408,066/x
  3. Step 3: Cross multiply
    312,104x = 408,066 × 408,066
  4. Step 4: Simplify right side
    312,104x = 166,517,860,356
  5. Step 5: Solve for x
    x = 166,517,860,356/312,104
  6. Step 6: Final answer
    x = 533,533.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.