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Finding the Third Proportional to 302,193 and 645,873

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Solution

The third proportional to 302,193 and 645,873 is: 1,380,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,193 : 645,873 = 645,873 : x
  2. Step 2: Convert to fraction form
    302,193/645,873 = 645,873/x
  3. Step 3: Cross multiply
    302,193x = 645,873 × 645,873
  4. Step 4: Simplify right side
    302,193x = 417,151,932,129
  5. Step 5: Solve for x
    x = 417,151,932,129/302,193
  6. Step 6: Final answer
    x = 1,380,415.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.