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Finding the Third Proportional to 51,120.50 and 78,465.75

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Solution

The third proportional to 51,120.50 and 78,465.75 is: 120,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,120.50 : 78,465.75 = 78,465.75 : x
  2. Step 2: Convert to fraction form
    51,120.50/78,465.75 = 78,465.75/x
  3. Step 3: Cross multiply
    51,120.50x = 78,465.75 × 78,465.75
  4. Step 4: Simplify right side
    51,120.50x = 6,156,873,923.06
  5. Step 5: Solve for x
    x = 6,156,873,923.06/51,120.50
  6. Step 6: Final answer
    x = 120,438.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.