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Finding the Third Proportional to 391,208 and 854,360

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Solution

The third proportional to 391,208 and 854,360 is: 1,865,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,208 : 854,360 = 854,360 : x
  2. Step 2: Convert to fraction form
    391,208/854,360 = 854,360/x
  3. Step 3: Cross multiply
    391,208x = 854,360 × 854,360
  4. Step 4: Simplify right side
    391,208x = 729,931,009,600
  5. Step 5: Solve for x
    x = 729,931,009,600/391,208
  6. Step 6: Final answer
    x = 1,865,838.66

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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.