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Finding the Third Proportional to 77,750.50 and 160,408.50

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Solution

The third proportional to 77,750.50 and 160,408.50 is: 330,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,750.50 : 160,408.50 = 160,408.50 : x
  2. Step 2: Convert to fraction form
    77,750.50/160,408.50 = 160,408.50/x
  3. Step 3: Cross multiply
    77,750.50x = 160,408.50 × 160,408.50
  4. Step 4: Simplify right side
    77,750.50x = 25,730,886,872.25
  5. Step 5: Solve for x
    x = 25,730,886,872.25/77,750.50
  6. Step 6: Final answer
    x = 330,941.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.