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Finding the Third Proportional to 301,276 and 399,836

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Solution

The third proportional to 301,276 and 399,836 is: 530,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,276 : 399,836 = 399,836 : x
  2. Step 2: Convert to fraction form
    301,276/399,836 = 399,836/x
  3. Step 3: Cross multiply
    301,276x = 399,836 × 399,836
  4. Step 4: Simplify right side
    301,276x = 159,868,826,896
  5. Step 5: Solve for x
    x = 159,868,826,896/301,276
  6. Step 6: Final answer
    x = 530,639.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.