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Finding the Third Proportional to 186,981 and 405,510

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Solution

The third proportional to 186,981 and 405,510 is: 879,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,981 : 405,510 = 405,510 : x
  2. Step 2: Convert to fraction form
    186,981/405,510 = 405,510/x
  3. Step 3: Cross multiply
    186,981x = 405,510 × 405,510
  4. Step 4: Simplify right side
    186,981x = 164,438,360,100
  5. Step 5: Solve for x
    x = 164,438,360,100/186,981
  6. Step 6: Final answer
    x = 879,438.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.