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Finding the Third Proportional to 302,871 and 637,134

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Solution

The third proportional to 302,871 and 637,134 is: 1,340,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,871 : 637,134 = 637,134 : x
  2. Step 2: Convert to fraction form
    302,871/637,134 = 637,134/x
  3. Step 3: Cross multiply
    302,871x = 637,134 × 637,134
  4. Step 4: Simplify right side
    302,871x = 405,939,733,956
  5. Step 5: Solve for x
    x = 405,939,733,956/302,871
  6. Step 6: Final answer
    x = 1,340,305.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.