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Finding the Third Proportional to 171,780.75 and 385,782.75

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Solution

The third proportional to 171,780.75 and 385,782.75 is: 866,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,780.75 : 385,782.75 = 385,782.75 : x
  2. Step 2: Convert to fraction form
    171,780.75/385,782.75 = 385,782.75/x
  3. Step 3: Cross multiply
    171,780.75x = 385,782.75 × 385,782.75
  4. Step 4: Simplify right side
    171,780.75x = 148,828,330,197.56
  5. Step 5: Solve for x
    x = 148,828,330,197.56/171,780.75
  6. Step 6: Final answer
    x = 866,385.38

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.