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Finding the Third Proportional to 186,792 and 280,228

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Solution

The third proportional to 186,792 and 280,228 is: 420,402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,792 : 280,228 = 280,228 : x
  2. Step 2: Convert to fraction form
    186,792/280,228 = 280,228/x
  3. Step 3: Cross multiply
    186,792x = 280,228 × 280,228
  4. Step 4: Simplify right side
    186,792x = 78,527,731,984
  5. Step 5: Solve for x
    x = 78,527,731,984/186,792
  6. Step 6: Final answer
    x = 420,402.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.