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Finding the Third Proportional to 317,865.50 and 480,038

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Solution

The third proportional to 317,865.50 and 480,038 is: 724,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,865.50 : 480,038 = 480,038 : x
  2. Step 2: Convert to fraction form
    317,865.50/480,038 = 480,038/x
  3. Step 3: Cross multiply
    317,865.50x = 480,038 × 480,038
  4. Step 4: Simplify right side
    317,865.50x = 230,436,481,444
  5. Step 5: Solve for x
    x = 230,436,481,444/317,865.50
  6. Step 6: Final answer
    x = 724,949.65

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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.