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Finding the Third Proportional to 302,026 and 629,729

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Solution

The third proportional to 302,026 and 629,729 is: 1,312,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,026 : 629,729 = 629,729 : x
  2. Step 2: Convert to fraction form
    302,026/629,729 = 629,729/x
  3. Step 3: Cross multiply
    302,026x = 629,729 × 629,729
  4. Step 4: Simplify right side
    302,026x = 396,558,613,441
  5. Step 5: Solve for x
    x = 396,558,613,441/302,026
  6. Step 6: Final answer
    x = 1,312,994.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.