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Finding the Third Proportional to 85,780 and 182,888

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Solution

The third proportional to 85,780 and 182,888 is: 389,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,780 : 182,888 = 182,888 : x
  2. Step 2: Convert to fraction form
    85,780/182,888 = 182,888/x
  3. Step 3: Cross multiply
    85,780x = 182,888 × 182,888
  4. Step 4: Simplify right side
    85,780x = 33,448,020,544
  5. Step 5: Solve for x
    x = 33,448,020,544/85,780
  6. Step 6: Final answer
    x = 389,927.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.