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Finding the Third Proportional to 85,914 and 129,030

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Solution

The third proportional to 85,914 and 129,030 is: 193,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,914 : 129,030 = 129,030 : x
  2. Step 2: Convert to fraction form
    85,914/129,030 = 129,030/x
  3. Step 3: Cross multiply
    85,914x = 129,030 × 129,030
  4. Step 4: Simplify right side
    85,914x = 16,648,740,900
  5. Step 5: Solve for x
    x = 16,648,740,900/85,914
  6. Step 6: Final answer
    x = 193,783.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.