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Finding the Third Proportional to 305,670 and 663,852

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Solution

The third proportional to 305,670 and 663,852 is: 1,441,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,670 : 663,852 = 663,852 : x
  2. Step 2: Convert to fraction form
    305,670/663,852 = 663,852/x
  3. Step 3: Cross multiply
    305,670x = 663,852 × 663,852
  4. Step 4: Simplify right side
    305,670x = 440,699,477,904
  5. Step 5: Solve for x
    x = 440,699,477,904/305,670
  6. Step 6: Final answer
    x = 1,441,749.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.