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Finding the Third Proportional to 307,236 and 638,998

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Solution

The third proportional to 307,236 and 638,998 is: 1,329,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,236 : 638,998 = 638,998 : x
  2. Step 2: Convert to fraction form
    307,236/638,998 = 638,998/x
  3. Step 3: Cross multiply
    307,236x = 638,998 × 638,998
  4. Step 4: Simplify right side
    307,236x = 408,318,444,004
  5. Step 5: Solve for x
    x = 408,318,444,004/307,236
  6. Step 6: Final answer
    x = 1,329,005.86

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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.