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Finding the Third Proportional to 51,030 and 81,217.69

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Solution

The third proportional to 51,030 and 81,217.69 is: 129,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,030 : 81,217.69 = 81,217.69 : x
  2. Step 2: Convert to fraction form
    51,030/81,217.69 = 81,217.69/x
  3. Step 3: Cross multiply
    51,030x = 81,217.69 × 81,217.69
  4. Step 4: Simplify right side
    51,030x = 6,596,312,762.85
  5. Step 5: Solve for x
    x = 6,596,312,762.85/51,030
  6. Step 6: Final answer
    x = 129,263.43

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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.