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Finding the Third Proportional to 206,430.75 and 305,813.25

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Solution

The third proportional to 206,430.75 and 305,813.25 is: 453,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,430.75 : 305,813.25 = 305,813.25 : x
  2. Step 2: Convert to fraction form
    206,430.75/305,813.25 = 305,813.25/x
  3. Step 3: Cross multiply
    206,430.75x = 305,813.25 × 305,813.25
  4. Step 4: Simplify right side
    206,430.75x = 93,521,743,875.56
  5. Step 5: Solve for x
    x = 93,521,743,875.56/206,430.75
  6. Step 6: Final answer
    x = 453,041.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.