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Finding the Third Proportional to 313,844 and 402,966

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Solution

The third proportional to 313,844 and 402,966 is: 517,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,844 : 402,966 = 402,966 : x
  2. Step 2: Convert to fraction form
    313,844/402,966 = 402,966/x
  3. Step 3: Cross multiply
    313,844x = 402,966 × 402,966
  4. Step 4: Simplify right side
    313,844x = 162,381,597,156
  5. Step 5: Solve for x
    x = 162,381,597,156/313,844
  6. Step 6: Final answer
    x = 517,395.89

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.