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Finding the Third Proportional to 317,128 and 485,738

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Solution

The third proportional to 317,128 and 485,738 is: 743,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,128 : 485,738 = 485,738 : x
  2. Step 2: Convert to fraction form
    317,128/485,738 = 485,738/x
  3. Step 3: Cross multiply
    317,128x = 485,738 × 485,738
  4. Step 4: Simplify right side
    317,128x = 235,941,404,644
  5. Step 5: Solve for x
    x = 235,941,404,644/317,128
  6. Step 6: Final answer
    x = 743,994.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.