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Finding the Third Proportional to 2,145,318.75 and 3,180,870

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Solution

The third proportional to 2,145,318.75 and 3,180,870 is: 4,716,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,318.75 : 3,180,870 = 3,180,870 : x
  2. Step 2: Convert to fraction form
    2,145,318.75/3,180,870 = 3,180,870/x
  3. Step 3: Cross multiply
    2,145,318.75x = 3,180,870 × 3,180,870
  4. Step 4: Simplify right side
    2,145,318.75x = 10,117,933,956,900
  5. Step 5: Solve for x
    x = 10,117,933,956,900/2,145,318.75
  6. Step 6: Final answer
    x = 4,716,284.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.