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Finding the Third Proportional to 186,977 and 400,225

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Solution

The third proportional to 186,977 and 400,225 is: 856,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,977 : 400,225 = 400,225 : x
  2. Step 2: Convert to fraction form
    186,977/400,225 = 400,225/x
  3. Step 3: Cross multiply
    186,977x = 400,225 × 400,225
  4. Step 4: Simplify right side
    186,977x = 160,180,050,625
  5. Step 5: Solve for x
    x = 160,180,050,625/186,977
  6. Step 6: Final answer
    x = 856,683.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.