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Finding the Third Proportional to 186,800 and 409,888

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Solution

The third proportional to 186,800 and 409,888 is: 899,401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,800 : 409,888 = 409,888 : x
  2. Step 2: Convert to fraction form
    186,800/409,888 = 409,888/x
  3. Step 3: Cross multiply
    186,800x = 409,888 × 409,888
  4. Step 4: Simplify right side
    186,800x = 168,008,172,544
  5. Step 5: Solve for x
    x = 168,008,172,544/186,800
  6. Step 6: Final answer
    x = 899,401.35

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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.