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Finding the Third Proportional to 763,863.75 and 1,664,685

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Solution

The third proportional to 763,863.75 and 1,664,685 is: 3,627,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,863.75 : 1,664,685 = 1,664,685 : x
  2. Step 2: Convert to fraction form
    763,863.75/1,664,685 = 1,664,685/x
  3. Step 3: Cross multiply
    763,863.75x = 1,664,685 × 1,664,685
  4. Step 4: Simplify right side
    763,863.75x = 2,771,176,149,225
  5. Step 5: Solve for x
    x = 2,771,176,149,225/763,863.75
  6. Step 6: Final answer
    x = 3,627,840.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.