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Finding the Third Proportional to 85,429.69 and 129,420.28

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Solution

The third proportional to 85,429.69 and 129,420.28 is: 196,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,429.69 : 129,420.28 = 129,420.28 : x
  2. Step 2: Convert to fraction form
    85,429.69/129,420.28 = 129,420.28/x
  3. Step 3: Cross multiply
    85,429.69x = 129,420.28 × 129,420.28
  4. Step 4: Simplify right side
    85,429.69x = 16,749,609,198.83
  5. Step 5: Solve for x
    x = 16,749,609,198.83/85,429.69
  6. Step 6: Final answer
    x = 196,063.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.