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Finding the Third Proportional to 186,476 and 409,245

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Solution

The third proportional to 186,476 and 409,245 is: 898,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,476 : 409,245 = 409,245 : x
  2. Step 2: Convert to fraction form
    186,476/409,245 = 409,245/x
  3. Step 3: Cross multiply
    186,476x = 409,245 × 409,245
  4. Step 4: Simplify right side
    186,476x = 167,481,470,025
  5. Step 5: Solve for x
    x = 167,481,470,025/186,476
  6. Step 6: Final answer
    x = 898,139.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.