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Finding the Third Proportional to 313,856 and 402,984

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Solution

The third proportional to 313,856 and 402,984 is: 517,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,856 : 402,984 = 402,984 : x
  2. Step 2: Convert to fraction form
    313,856/402,984 = 402,984/x
  3. Step 3: Cross multiply
    313,856x = 402,984 × 402,984
  4. Step 4: Simplify right side
    313,856x = 162,396,104,256
  5. Step 5: Solve for x
    x = 162,396,104,256/313,856
  6. Step 6: Final answer
    x = 517,422.33

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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.