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Finding the Third Proportional to 301,644 and 421,632

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Solution

The third proportional to 301,644 and 421,632 is: 589,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,644 : 421,632 = 421,632 : x
  2. Step 2: Convert to fraction form
    301,644/421,632 = 421,632/x
  3. Step 3: Cross multiply
    301,644x = 421,632 × 421,632
  4. Step 4: Simplify right side
    301,644x = 177,773,543,424
  5. Step 5: Solve for x
    x = 177,773,543,424/301,644
  6. Step 6: Final answer
    x = 589,348.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.