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Finding the Third Proportional to 388,220 and 854,632

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Solution

The third proportional to 388,220 and 854,632 is: 1,881,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,220 : 854,632 = 854,632 : x
  2. Step 2: Convert to fraction form
    388,220/854,632 = 854,632/x
  3. Step 3: Cross multiply
    388,220x = 854,632 × 854,632
  4. Step 4: Simplify right side
    388,220x = 730,395,855,424
  5. Step 5: Solve for x
    x = 730,395,855,424/388,220
  6. Step 6: Final answer
    x = 1,881,396.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.