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Finding the Third Proportional to 179,492 and 391,582

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Solution

The third proportional to 179,492 and 391,582 is: 854,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,492 : 391,582 = 391,582 : x
  2. Step 2: Convert to fraction form
    179,492/391,582 = 391,582/x
  3. Step 3: Cross multiply
    179,492x = 391,582 × 391,582
  4. Step 4: Simplify right side
    179,492x = 153,336,462,724
  5. Step 5: Solve for x
    x = 153,336,462,724/179,492
  6. Step 6: Final answer
    x = 854,280.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.