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Finding the Third Proportional to 286,920 and 421,164

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Solution

The third proportional to 286,920 and 421,164 is: 618,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,920 : 421,164 = 421,164 : x
  2. Step 2: Convert to fraction form
    286,920/421,164 = 421,164/x
  3. Step 3: Cross multiply
    286,920x = 421,164 × 421,164
  4. Step 4: Simplify right side
    286,920x = 177,379,114,896
  5. Step 5: Solve for x
    x = 177,379,114,896/286,920
  6. Step 6: Final answer
    x = 618,218.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.