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Finding the Third Proportional to 274,927.50 and 425,688.75

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Solution

The third proportional to 274,927.50 and 425,688.75 is: 659,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,927.50 : 425,688.75 = 425,688.75 : x
  2. Step 2: Convert to fraction form
    274,927.50/425,688.75 = 425,688.75/x
  3. Step 3: Cross multiply
    274,927.50x = 425,688.75 × 425,688.75
  4. Step 4: Simplify right side
    274,927.50x = 181,210,911,876.56
  5. Step 5: Solve for x
    x = 181,210,911,876.56/274,927.50
  6. Step 6: Final answer
    x = 659,122.54

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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.