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Finding the Third Proportional to 313,847 and 402,970

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Solution

The third proportional to 313,847 and 402,970 is: 517,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,847 : 402,970 = 402,970 : x
  2. Step 2: Convert to fraction form
    313,847/402,970 = 402,970/x
  3. Step 3: Cross multiply
    313,847x = 402,970 × 402,970
  4. Step 4: Simplify right side
    313,847x = 162,384,820,900
  5. Step 5: Solve for x
    x = 162,384,820,900/313,847
  6. Step 6: Final answer
    x = 517,401.22

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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.