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Finding the Third Proportional to 317,283.75 and 485,973

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Solution

The third proportional to 317,283.75 and 485,973 is: 744,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,283.75 : 485,973 = 485,973 : x
  2. Step 2: Convert to fraction form
    317,283.75/485,973 = 485,973/x
  3. Step 3: Cross multiply
    317,283.75x = 485,973 × 485,973
  4. Step 4: Simplify right side
    317,283.75x = 236,169,756,729
  5. Step 5: Solve for x
    x = 236,169,756,729/317,283.75
  6. Step 6: Final answer
    x = 744,348.73

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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.