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Finding the Third Proportional to 45,087 and 70,087.50

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Solution

The third proportional to 45,087 and 70,087.50 is: 108,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,087 : 70,087.50 = 70,087.50 : x
  2. Step 2: Convert to fraction form
    45,087/70,087.50 = 70,087.50/x
  3. Step 3: Cross multiply
    45,087x = 70,087.50 × 70,087.50
  4. Step 4: Simplify right side
    45,087x = 4,912,257,656.25
  5. Step 5: Solve for x
    x = 4,912,257,656.25/45,087
  6. Step 6: Final answer
    x = 108,950.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.