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Finding the Third Proportional to 85,422 and 183,988.50

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Solution

The third proportional to 85,422 and 183,988.50 is: 396,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,422 : 183,988.50 = 183,988.50 : x
  2. Step 2: Convert to fraction form
    85,422/183,988.50 = 183,988.50/x
  3. Step 3: Cross multiply
    85,422x = 183,988.50 × 183,988.50
  4. Step 4: Simplify right side
    85,422x = 33,851,768,132.25
  5. Step 5: Solve for x
    x = 33,851,768,132.25/85,422
  6. Step 6: Final answer
    x = 396,288.64

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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.