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Finding the Third Proportional to 77,423 and 109,027

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Solution

The third proportional to 77,423 and 109,027 is: 153,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,423 : 109,027 = 109,027 : x
  2. Step 2: Convert to fraction form
    77,423/109,027 = 109,027/x
  3. Step 3: Cross multiply
    77,423x = 109,027 × 109,027
  4. Step 4: Simplify right side
    77,423x = 11,886,886,729
  5. Step 5: Solve for x
    x = 11,886,886,729/77,423
  6. Step 6: Final answer
    x = 153,531.72

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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.