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Finding the Third Proportional to 186,690 and 409,670

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Solution

The third proportional to 186,690 and 409,670 is: 898,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,690 : 409,670 = 409,670 : x
  2. Step 2: Convert to fraction form
    186,690/409,670 = 409,670/x
  3. Step 3: Cross multiply
    186,690x = 409,670 × 409,670
  4. Step 4: Simplify right side
    186,690x = 167,829,508,900
  5. Step 5: Solve for x
    x = 167,829,508,900/186,690
  6. Step 6: Final answer
    x = 898,974.28

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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.