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Finding the Third Proportional to 180,492 and 280,582

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Solution

The third proportional to 180,492 and 280,582 is: 436,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,492 : 280,582 = 280,582 : x
  2. Step 2: Convert to fraction form
    180,492/280,582 = 280,582/x
  3. Step 3: Cross multiply
    180,492x = 280,582 × 280,582
  4. Step 4: Simplify right side
    180,492x = 78,726,258,724
  5. Step 5: Solve for x
    x = 78,726,258,724/180,492
  6. Step 6: Final answer
    x = 436,175.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.