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Finding the Third Proportional to 395,520 and 848,640

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Solution

The third proportional to 395,520 and 848,640 is: 1,820,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,520 : 848,640 = 848,640 : x
  2. Step 2: Convert to fraction form
    395,520/848,640 = 848,640/x
  3. Step 3: Cross multiply
    395,520x = 848,640 × 848,640
  4. Step 4: Simplify right side
    395,520x = 720,189,849,600
  5. Step 5: Solve for x
    x = 720,189,849,600/395,520
  6. Step 6: Final answer
    x = 1,820,868.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.