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Finding the Third Proportional to 45,035 and 70,645

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Solution

The third proportional to 45,035 and 70,645 is: 110,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,035 : 70,645 = 70,645 : x
  2. Step 2: Convert to fraction form
    45,035/70,645 = 70,645/x
  3. Step 3: Cross multiply
    45,035x = 70,645 × 70,645
  4. Step 4: Simplify right side
    45,035x = 4,990,716,025
  5. Step 5: Solve for x
    x = 4,990,716,025/45,035
  6. Step 6: Final answer
    x = 110,818.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.