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Finding the Third Proportional to 39,790.25 and 85,807

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Solution

The third proportional to 39,790.25 and 85,807 is: 185,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,790.25 : 85,807 = 85,807 : x
  2. Step 2: Convert to fraction form
    39,790.25/85,807 = 85,807/x
  3. Step 3: Cross multiply
    39,790.25x = 85,807 × 85,807
  4. Step 4: Simplify right side
    39,790.25x = 7,362,841,249
  5. Step 5: Solve for x
    x = 7,362,841,249/39,790.25
  6. Step 6: Final answer
    x = 185,041.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.