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Finding the Third Proportional to 399,456 and 848,160

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Solution

The third proportional to 399,456 and 848,160 is: 1,800,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,456 : 848,160 = 848,160 : x
  2. Step 2: Convert to fraction form
    399,456/848,160 = 848,160/x
  3. Step 3: Cross multiply
    399,456x = 848,160 × 848,160
  4. Step 4: Simplify right side
    399,456x = 719,375,385,600
  5. Step 5: Solve for x
    x = 719,375,385,600/399,456
  6. Step 6: Final answer
    x = 1,800,887.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.