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Finding the Third Proportional to 256,729.50 and 399,085.73

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Solution

The third proportional to 256,729.50 and 399,085.73 is: 620,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,729.50 : 399,085.73 = 399,085.73 : x
  2. Step 2: Convert to fraction form
    256,729.50/399,085.73 = 399,085.73/x
  3. Step 3: Cross multiply
    256,729.50x = 399,085.73 × 399,085.73
  4. Step 4: Simplify right side
    256,729.50x = 159,269,423,381.63
  5. Step 5: Solve for x
    x = 159,269,423,381.63/256,729.50
  6. Step 6: Final answer
    x = 620,378.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.