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Finding the Third Proportional to 82,865.25 and 131,420.25

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Solution

The third proportional to 82,865.25 and 131,420.25 is: 208,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,865.25 : 131,420.25 = 131,420.25 : x
  2. Step 2: Convert to fraction form
    82,865.25/131,420.25 = 131,420.25/x
  3. Step 3: Cross multiply
    82,865.25x = 131,420.25 × 131,420.25
  4. Step 4: Simplify right side
    82,865.25x = 17,271,282,110.06
  5. Step 5: Solve for x
    x = 17,271,282,110.06/82,865.25
  6. Step 6: Final answer
    x = 208,426.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.