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Finding the Third Proportional to 620,128 and 930,192

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Solution

The third proportional to 620,128 and 930,192 is: 1,395,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,128 : 930,192 = 930,192 : x
  2. Step 2: Convert to fraction form
    620,128/930,192 = 930,192/x
  3. Step 3: Cross multiply
    620,128x = 930,192 × 930,192
  4. Step 4: Simplify right side
    620,128x = 865,257,156,864
  5. Step 5: Solve for x
    x = 865,257,156,864/620,128
  6. Step 6: Final answer
    x = 1,395,288

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.