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Finding the Third Proportional to 85,455 and 183,789

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Solution

The third proportional to 85,455 and 183,789 is: 395,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,455 : 183,789 = 183,789 : x
  2. Step 2: Convert to fraction form
    85,455/183,789 = 183,789/x
  3. Step 3: Cross multiply
    85,455x = 183,789 × 183,789
  4. Step 4: Simplify right side
    85,455x = 33,778,396,521
  5. Step 5: Solve for x
    x = 33,778,396,521/85,455
  6. Step 6: Final answer
    x = 395,277.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.