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Finding the Third Proportional to 374,427 and 820,129

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Solution

The third proportional to 374,427 and 820,129 is: 1,796,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,427 : 820,129 = 820,129 : x
  2. Step 2: Convert to fraction form
    374,427/820,129 = 820,129/x
  3. Step 3: Cross multiply
    374,427x = 820,129 × 820,129
  4. Step 4: Simplify right side
    374,427x = 672,611,576,641
  5. Step 5: Solve for x
    x = 672,611,576,641/374,427
  6. Step 6: Final answer
    x = 1,796,375.73

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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.