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Finding the Third Proportional to 388,128 and 848,385

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Solution

The third proportional to 388,128 and 848,385 is: 1,854,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,128 : 848,385 = 848,385 : x
  2. Step 2: Convert to fraction form
    388,128/848,385 = 848,385/x
  3. Step 3: Cross multiply
    388,128x = 848,385 × 848,385
  4. Step 4: Simplify right side
    388,128x = 719,757,108,225
  5. Step 5: Solve for x
    x = 719,757,108,225/388,128
  6. Step 6: Final answer
    x = 1,854,432.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.