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Finding the Third Proportional to 317,123.44 and 485,731.69

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Solution

The third proportional to 317,123.44 and 485,731.69 is: 743,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,123.44 : 485,731.69 = 485,731.69 : x
  2. Step 2: Convert to fraction form
    317,123.44/485,731.69 = 485,731.69/x
  3. Step 3: Cross multiply
    317,123.44x = 485,731.69 × 485,731.69
  4. Step 4: Simplify right side
    317,123.44x = 235,935,272,241.60
  5. Step 5: Solve for x
    x = 235,935,272,241.60/317,123.44
  6. Step 6: Final answer
    x = 743,985.60

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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.