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Finding the Third Proportional to 313,864 and 402,992

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Solution

The third proportional to 313,864 and 402,992 is: 517,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,864 : 402,992 = 402,992 : x
  2. Step 2: Convert to fraction form
    313,864/402,992 = 402,992/x
  3. Step 3: Cross multiply
    313,864x = 402,992 × 402,992
  4. Step 4: Simplify right side
    313,864x = 162,402,552,064
  5. Step 5: Solve for x
    x = 162,402,552,064/313,864
  6. Step 6: Final answer
    x = 517,429.69

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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.