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Finding the Third Proportional to 77,421.50 and 109,025

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Solution

The third proportional to 77,421.50 and 109,025 is: 153,529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,421.50 : 109,025 = 109,025 : x
  2. Step 2: Convert to fraction form
    77,421.50/109,025 = 109,025/x
  3. Step 3: Cross multiply
    77,421.50x = 109,025 × 109,025
  4. Step 4: Simplify right side
    77,421.50x = 11,886,450,625
  5. Step 5: Solve for x
    x = 11,886,450,625/77,421.50
  6. Step 6: Final answer
    x = 153,529.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.