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Finding the Third Proportional to 331,378.50 and 506,706

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Solution

The third proportional to 331,378.50 and 506,706 is: 774,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,378.50 : 506,706 = 506,706 : x
  2. Step 2: Convert to fraction form
    331,378.50/506,706 = 506,706/x
  3. Step 3: Cross multiply
    331,378.50x = 506,706 × 506,706
  4. Step 4: Simplify right side
    331,378.50x = 256,750,970,436
  5. Step 5: Solve for x
    x = 256,750,970,436/331,378.50
  6. Step 6: Final answer
    x = 774,796.71

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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.