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Finding the Third Proportional to 317,859.75 and 480,030.75

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Solution

The third proportional to 317,859.75 and 480,030.75 is: 724,940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,859.75 : 480,030.75 = 480,030.75 : x
  2. Step 2: Convert to fraction form
    317,859.75/480,030.75 = 480,030.75/x
  3. Step 3: Cross multiply
    317,859.75x = 480,030.75 × 480,030.75
  4. Step 4: Simplify right side
    317,859.75x = 230,429,520,945.56
  5. Step 5: Solve for x
    x = 230,429,520,945.56/317,859.75
  6. Step 6: Final answer
    x = 724,940.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.