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Finding the Third Proportional to 313,847 and 402,973

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Solution

The third proportional to 313,847 and 402,973 is: 517,408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,847 : 402,973 = 402,973 : x
  2. Step 2: Convert to fraction form
    313,847/402,973 = 402,973/x
  3. Step 3: Cross multiply
    313,847x = 402,973 × 402,973
  4. Step 4: Simplify right side
    313,847x = 162,387,238,729
  5. Step 5: Solve for x
    x = 162,387,238,729/313,847
  6. Step 6: Final answer
    x = 517,408.92

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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.