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Finding the Third Proportional to 179,490 and 391,578

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Solution

The third proportional to 179,490 and 391,578 is: 854,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,490 : 391,578 = 391,578 : x
  2. Step 2: Convert to fraction form
    179,490/391,578 = 391,578/x
  3. Step 3: Cross multiply
    179,490x = 391,578 × 391,578
  4. Step 4: Simplify right side
    179,490x = 153,333,330,084
  5. Step 5: Solve for x
    x = 153,333,330,084/179,490
  6. Step 6: Final answer
    x = 854,272.27

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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.