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Finding the Third Proportional to 205,638.75 and 317,783.25

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Solution

The third proportional to 205,638.75 and 317,783.25 is: 491,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,638.75 : 317,783.25 = 317,783.25 : x
  2. Step 2: Convert to fraction form
    205,638.75/317,783.25 = 317,783.25/x
  3. Step 3: Cross multiply
    205,638.75x = 317,783.25 × 317,783.25
  4. Step 4: Simplify right side
    205,638.75x = 100,986,193,980.56
  5. Step 5: Solve for x
    x = 100,986,193,980.56/205,638.75
  6. Step 6: Final answer
    x = 491,085.43

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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.