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Finding the Third Proportional to 186,474 and 409,239

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Solution

The third proportional to 186,474 and 409,239 is: 898,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,474 : 409,239 = 409,239 : x
  2. Step 2: Convert to fraction form
    186,474/409,239 = 409,239/x
  3. Step 3: Cross multiply
    186,474x = 409,239 × 409,239
  4. Step 4: Simplify right side
    186,474x = 167,476,559,121
  5. Step 5: Solve for x
    x = 167,476,559,121/186,474
  6. Step 6: Final answer
    x = 898,122.84

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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.