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Finding the Third Proportional to 307,156 and 638,835

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Solution

The third proportional to 307,156 and 638,835 is: 1,328,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,156 : 638,835 = 638,835 : x
  2. Step 2: Convert to fraction form
    307,156/638,835 = 638,835/x
  3. Step 3: Cross multiply
    307,156x = 638,835 × 638,835
  4. Step 4: Simplify right side
    307,156x = 408,110,157,225
  5. Step 5: Solve for x
    x = 408,110,157,225/307,156
  6. Step 6: Final answer
    x = 1,328,673.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.