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Finding the Third Proportional to 186,728 and 268,428

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Solution

The third proportional to 186,728 and 268,428 is: 385,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,728 : 268,428 = 268,428 : x
  2. Step 2: Convert to fraction form
    186,728/268,428 = 268,428/x
  3. Step 3: Cross multiply
    186,728x = 268,428 × 268,428
  4. Step 4: Simplify right side
    186,728x = 72,053,591,184
  5. Step 5: Solve for x
    x = 72,053,591,184/186,728
  6. Step 6: Final answer
    x = 385,874.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.