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Finding the Third Proportional to 274,540.50 and 402,900.75

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Solution

The third proportional to 274,540.50 and 402,900.75 is: 591,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,540.50 : 402,900.75 = 402,900.75 : x
  2. Step 2: Convert to fraction form
    274,540.50/402,900.75 = 402,900.75/x
  3. Step 3: Cross multiply
    274,540.50x = 402,900.75 × 402,900.75
  4. Step 4: Simplify right side
    274,540.50x = 162,329,014,350.56
  5. Step 5: Solve for x
    x = 162,329,014,350.56/274,540.50
  6. Step 6: Final answer
    x = 591,275.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.