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Finding the Third Proportional to 83,410.50 and 183,425.50

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Solution

The third proportional to 83,410.50 and 183,425.50 is: 403,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,410.50 : 183,425.50 = 183,425.50 : x
  2. Step 2: Convert to fraction form
    83,410.50/183,425.50 = 183,425.50/x
  3. Step 3: Cross multiply
    83,410.50x = 183,425.50 × 183,425.50
  4. Step 4: Simplify right side
    83,410.50x = 33,644,914,050.25
  5. Step 5: Solve for x
    x = 33,644,914,050.25/83,410.50
  6. Step 6: Final answer
    x = 403,365.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.