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Finding the Third Proportional to 82,829.25 and 129,164.63

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Solution

The third proportional to 82,829.25 and 129,164.63 is: 201,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,829.25 : 129,164.63 = 129,164.63 : x
  2. Step 2: Convert to fraction form
    82,829.25/129,164.63 = 129,164.63/x
  3. Step 3: Cross multiply
    82,829.25x = 129,164.63 × 129,164.63
  4. Step 4: Simplify right side
    82,829.25x = 16,683,500,351.39
  5. Step 5: Solve for x
    x = 16,683,500,351.39/82,829.25
  6. Step 6: Final answer
    x = 201,420.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.