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Finding the Third Proportional to 317,401.50 and 430,584.75

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Solution

The third proportional to 317,401.50 and 430,584.75 is: 584,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,401.50 : 430,584.75 = 430,584.75 : x
  2. Step 2: Convert to fraction form
    317,401.50/430,584.75 = 430,584.75/x
  3. Step 3: Cross multiply
    317,401.50x = 430,584.75 × 430,584.75
  4. Step 4: Simplify right side
    317,401.50x = 185,403,226,932.56
  5. Step 5: Solve for x
    x = 185,403,226,932.56/317,401.50
  6. Step 6: Final answer
    x = 584,128.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.