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Finding the Third Proportional to 84,476 and 182,893.50

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Solution

The third proportional to 84,476 and 182,893.50 is: 395,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,476 : 182,893.50 = 182,893.50 : x
  2. Step 2: Convert to fraction form
    84,476/182,893.50 = 182,893.50/x
  3. Step 3: Cross multiply
    84,476x = 182,893.50 × 182,893.50
  4. Step 4: Simplify right side
    84,476x = 33,450,032,342.25
  5. Step 5: Solve for x
    x = 33,450,032,342.25/84,476
  6. Step 6: Final answer
    x = 395,970.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.